Deck 9: Fundamentals of Hypothesis Testing: One-Sample Tests

Question 1

Which of the following would be an appropriate alternative hypothesis?

A)The mean of a population is equal to 55.
B)The mean of a sample is equal to 55.
C)The mean of a population is greater than 55.
D)The mean of a sample is greater than 55.

Answer 1

The mean of a population is greater than 55.

Question 2

If the p-value is less than in a two-tail test,

A)the null hypothesis should not be rejected.
B)the null hypothesis should be rejected.
C)a one-tail test should be used.
D)no conclusion should be reached.

Answer 2

the null hypothesis should be rejected.

Question 3

A Type I error is committed when

A)you reject a null hypothesis that is true.
B)you don't reject a null hypothesis that is true.
C)you reject a null hypothesis that is false.
D)you don't reject a null hypothesis that is false.

Answer 3

you reject a null hypothesis that is true.

Question 4

If a test of hypothesis has a Type I error probability of 0.01, it means that

A)if the null hypothesis is true, you don't reject it 1% of the time.
B)if the null hypothesis is true, you reject it 1% of the time.
C)if the null hypothesis is false, you don't reject it 1% of the time.
D)if the null hypothesis is false, you reject it 1% of the time.

Question 5

If an economist wishes to determine whether there is evidence that mean family income in a community exceeds $50,000

A)either a one-tail or two-tail test could be used with equivalent results.
B)a one-tail test should be utilized.
C)a two-tail test should be utilized.
D)None of the above.

Question 6

For a given level of significance, if the sample size is increased but the summary statistics remain the same, the probability of committing a Type I error will increase.

Question 7

For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

Question 8

If a researcher rejects a true null hypothesis, she has made a _______error.

Question 9

Which of the following would be an appropriate alternative hypothesis?

A)The population proportion is less than 0.65.
B)The sample proportion is less than 0.65.
C)The population proportion is not less than 0.65.
D)The sample proportion is not less than 0.65.

Question 10

You know that the level of significance of a test is 5%, you can tell that the probability of committing a Type II error is

A)2.5%
B)95%.
C)97.5%
D)unknown

Question 11

If an economist wishes to determine whether there is evidence that mean family income in a community equals $50,000

A)either a one-tail or two-tail test could be used with equivalent results.
B)a one-tail test should be utilized.
C)a two-tail test should be utilized.
D)None of the above.

Question 12

If the Type I error for a given test is to be decreased, then for a fixed sample size

A)the Type II error will also decrease.
B)the Type II error will increase.
C)the power of the test will increase.
D)a one-tail test must be utilized.

Question 13

You know that the probability of committing a Type II error is 5%, you can tell that the power of the test is

A)2.5%
B)95%.
C)97.5%
D)unknown

Question 14

For a given sample size n, if the level of significance is decreased, the power of the test

A)will increase.
B)will decrease.
C)will remain the same.
D)cannot be determined.

Question 15

For a given level of significance, if the sample size is increased but the summary statistics remain the same, the probability of committing a Type II error will increase.

Question 16

The power of a test is measured by its capability of

A)rejecting a null hypothesis that is true.
B)not rejecting a null hypothesis that is true.
C)rejecting a null hypothesis that is false.
D)not rejecting a null hypothesis that is false.

Question 17

Which of the following would be an appropriate null hypothesis?

A)The population proportion is less than 0.65.
B)The sample proportion is less than 0.65.
C)The population proportion is not less than 0.65.
D)The sample proportion is no less than 0.65.

Question 18

For a given level of significance if the sample size n is increased, the probability of a Type II error

A)will decrease.
B)will increase.
C)will remain the same.
D)cannot be determined.

Question 19

A Type II error is committed when

A)you reject a null hypothesis that is true.
B)you don't reject a null hypothesis that is true.
C)you reject a null hypothesis that is false.
D)you don't reject a null hypothesis that is false.

Question 20

Which of the following would be an appropriate null hypothesis?

A)The mean of a population is equal to 55.
B)The mean of a sample is equal to 55.
C)The mean of a population is greater than 55.
D)Only (a)and (c)are appropriate.

Question 21

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 60.

A)
B)
C)
D)

Question 22

Suppose you want to test versus Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject H₀ in favor of H₁?

A) = 28, S = 6
B) = 27, S = 4
C) = 32, S = 2
D) = 26, S = 9

Question 23

The symbol for the probability of committing a Type I error of a statistical test is

A)
B)
C)
D)

Question 24

The symbol for the probability of committing a Type II error of a statistical test is

A)
B)
C)
D)

Question 25

The symbol for the power of a statistical test is

A)
B)
C)
D)

Question 26

You have created a 95% confidence interval for with the result .What decision will you make if you test versus

A)Reject in favor of
B)Do not reject in favor of
C)Fail to reject in favor of
D)We cannot tell what our decision will be from the information given.

Question 27

The symbol for the confidence coefficient of a statistical test is

A)
B)
C)
D)

Question 28

You have created a 95% confidence interval for with the result What decision will you make if we test versus

A)Reject H₀ in favor of H₁.
B)Do not reject H₀ in favor of H₁.
C)Fail to reject H₀ in favor of H₁.
D)We cannot tell what our decision will be from the information given.

Question 29

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: Suppose the test statistic does fall in the rejection region at = 0.05.Which of the following decision is correct?

A)At = 0.05, you do not reject
B)At = 0.05, you reject
C)At = 0.05, you do not reject
D)At = 0.10, you do not reject

Question 30

If a researcher does not reject a true null hypothesis, she has made a _______decision.

Question 31

If a researcher rejects a false null hypothesis, she has made a _______decision.

Question 32

The symbol for the level of significance of a statistical test is

A)
B)
C)
D)

Question 33

You have created a 95% confidence interval for with the result 1 What decision will you make if we test H₀ : =16 versus H₁ at = 0.01?

A)Reject H₀ in favor of H₁.
B)Do not reject H₀ in favor of H₁.
C)Fail to reject H₀ in favor of H₁.
D)You cannot tell what our decision will be from the information given.

Question 34

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: Suppose the alternative you wanted to test was .State the correct rejection region for

A)Reject
B)Reject
C)Reject
D)Reject

Question 35

If a researcher does not reject a false null hypothesis, she has made a _______error.

Question 36

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if

A)a two-tail test for is used.
B)a one-tail test for is used.
C)Both of the previous statements are true.
D)None of the previous statements is true.

Question 37

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: Using the sample information provided, calculate the value of the test statistic.

A)t=(52 -60) / 22
B)t= (52 -60) / (22 /100)
C)
D)t =(52- 60) / (22 /10)

Question 38

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: Suppose the test statistic does fall in the rejection region at = 0.05.Which of the following conclusion is correct?

A)At = 0.05, there is not sufficient evidence to conclude that the mean number of tissues used during a cold is 60 tissues.
B)At = 0.05, there is sufficient evidence to conclude that the mean number of tissues used during a cold is 60 tissues.
C)At = 0.05, there is insufficient evidence to conclude that the mean number of tissues used during a cold is not 60 tissues.
D)At = 0.10, there is sufficient evidence to conclude that the mean number of tissues used during a cold is not 60 tissues.

Question 39

Suppose we wish to test What will result if we conclude that the mean is greater than 47 when its true value is really 52?

A)We have made a Type I error.
B)We have made a Type II error.
C)We have made a correct decision
D)None of the above are correct.

Question 40

The power of a statistical test is

A)the probability of not rejecting when it is false.
B)the probability of rejecting when it is true.
C)the probability of not rejecting when it is true.
D)the probability of rejecting when it is false.

Question 41

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches.To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors was selected. Suppose that the test statistic is - 2.20.Can you conclude that H₀ should be rejected at the (a) = 0.10, (b) = 0.05, and (c) = 0.01 level of Type I error?

A)(a)yes; (b)yes; (c)yes
B)(a)no; (b)no; (c)no
C)(a)no; (b)no; (c)yes
D)(a)yes; (b)yes; (c)no

Question 42

A pizza chain is considering opening a new store in an area that currently does not have any such stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its brand.It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have a favorable view.State the test of hypothesis that is of interest to the pizza chain.

A) versus
B) versus
C) versus
D) versus

Question 43

If, as a result of a hypothesis test, you reject the null hypothesis when it is false, then you have committed

A)a Type II error.
B)a Type I error.
C)no error.
D)an acceptance error.

Question 44

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches.To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin.The value of the test statistic in this problem is approximately equal to:

A)-4.12
B)-2.33
C)-1.86
D)-0.07

Question 45

A is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to reject the null hypothesis.

A)significance level
B)critical value
C)test statistic
D)parameter

Question 46

The value that separates a rejection region from a non-rejection region is called the _______.

Question 47

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no entertainment changes will be made.The appropriate hypotheses to test are:

A) versus
B) versus
C) versus
D) versus

Question 48

An entrepreneur is considering the purchase of a coin-operated laundry.The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75.A sample of 30 days reveals a daily mean revenue of $625.If you were to test the null hypothesis that the daily mean revenue was $675, which test would you use?

A)Z-test of a population mean
B)Z-test of a population proportion
C)t-test of population mean
D)t-test of a population proportion

Question 49

A pizza chain is considering opening a new store in an area that currently does not have any such stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its brand.It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have a favorable view.The value of the test statistic in this problem is approximately equal to:

A)2.80
B)2.60
C)1.94
D)1.30

Question 50

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no entertainment changes will be made.Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years.What is the p-value associated with the test statistic?

A)0.3577
B)0.1423
C)0.0780
D)0.02

Question 51

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no entertainment changes will be made.Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years.If she wants to have a level of significance at 0.01, what decision should she make?

A)Reject H₀.
B)Reject H₁.
C)Do not reject H₀.
D)We cannot tell what her decision should be from the information given.

Question 52

A pizza chain is considering opening a new store in an area that currently does not have any such stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its brand.It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have a favorable view.The p-value associated with the test statistic in this problem is approximately equal to:

A)0.0100
B)0.0051
C)0.0026
D)0.0013

Question 53

A pizza chain is considering opening a new store in an area that currently does not have any such stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its brand.It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have a favorable view.The decision on the hypothesis test using a 5% level of significance is:

A)to reject H₀ in favor of H₁.
B)to accept H₀ in favor of H₁.
C)to fail to reject H₀ in favor of H₁.
D)we cannot tell what the decision should be from the information given.

Question 54

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches.To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors was selected. Suppose you reject the null hypothesis.What conclusion can you reach?

A)There is not sufficient evidence that the proportion of doctors who recommend aspirin is not less than 0.90.
B)There is sufficient evidence that the proportion of doctors who recommend aspirin is not less than 0.90.
C)There is not sufficient evidence that the proportion of doctors who recommend aspirin is less than 0.90.
D)There is sufficient evidence that the proportion of doctors who recommend aspirin is less than 0.90.

Question 55

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no entertainment changes will be made.If she wants to have a level of significance at 0.01, what rejection region should she use?

A)Reject
B)Reject
C)Reject
D)Reject

Question 56

A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75.An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65.If you wanted to test whether the mean balance is different from $75 and decided to reject the null hypothesis, what conclusion could you reach?

A)There is not evidence that the mean balance is $75.
B)There is not evidence that the mean balance is not $75.
C)There is evidence that the mean balance is $75.
D)There is evidence that the mean balance is not $75.

Question 57

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no entertainment changes will be made.Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years.If she wants to have a level of significance at 0.01 what conclusion can she make?

A)There is not sufficient evidence that the mean age of her customers is greater than 30.
B)There is sufficient evidence that the mean age of her customers is greater than 30.
C)There is not sufficient evidence that the mean age of her customers is not greater than 30.
D)There is sufficient evidence that the mean age of her customers is not greater than 30.

Question 58

A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75.An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65.If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use?

A)Z-test of a population mean
B)Z-test of a population proportion
C)t-test of population mean
D)t-test of a population proportion

Question 59

An entrepreneur is considering the purchase of a coin-operated laundry.The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75.A sample of 30 days reveals a daily mean revenue of $625.If you were to test the null hypothesis that the daily mean revenue was $675 and decide not to reject the null hypothesis, what can you conclude?

A)There is not enough evidence to conclude that the daily mean revenue was $675.
B)There is not enough evidence to conclude that the daily mean revenue was not $675.
C)There is enough evidence to conclude that the daily mean revenue was $675.
D)There is enough evidence to conclude that the daily mean revenue was not $675.

Question 60

Which of the following statements is not true about the level of significance in a hypothesis test?

A)The larger the level of significance, the more likely you are to reject the null hypothesis.
B)The level of significance is the maximum risk we are willing to accept in making a Type I error.
C)The significance level is also called the level.
D)The significance level is another name for Type II error.

Question 61

The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a GPS navigation system if it had been available for an additional cost of $300.The manager believes from previous information that the proportion is 0.30.Suppose that a survey of 200 new compact-car owners is selected and 79 indicate that they would have purchased the GPS navigation system.If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30 and decided not to reject the null hypothesis, what conclusion could you reach?

A)There is sufficient evidence that the proportion is 0.30
B)There is not sufficient evidence that the proportion is 0.30.
C)There is sufficient evidence that the proportion is 0.30.
D)There is not sufficient evidence that the proportion is not 0.30.

Question 62

Suppose, in testing a hypothesis about a mean, the Z test statistic is computed to be 2.04.The null hypothesis should be rejected if the chosen level of significance is 0.01 and a two-tail test is used.

Question 63

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed.

Question 64

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the lowest level of significance at which the null hypothesis can be rejected is ______.

Question 65

A pizza chain is considering opening a new store in an area that currently does not have any such stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its brain.It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have a favorable view.The pizza chain's conclusion from the hypothesis test using a 5% level of significance is:

A)to open a new store.
B)not to open a new store.
C)to delay opening a new store until additional evidence is collected.
D)we cannot tell what the decision should be from the information given.

Question 66

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the evidence proves beyond a doubt that the mean number of defective bulbs per case is greater than 20 during the morning shift.

Question 67

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, if these data were used to perform a two-tail test, the p-value would be 0.042.

Question 68

The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a GPS navigation system if it had been available for an additional cost of $300.The manager believes from previous information that the proportion is 0.30.Suppose that a survey of 200 new compact-car owners is selected and 79 indicate that they would have purchased the GPS navigation system.If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?

A)Z-test of a population mean
B)Z-test of a population proportion
C)t-test of population mean
D)t-test of a population proportion

Question 69

The test statistic measures how close the computed sample statistic has come to the hypothesized population parameter.

Question 70

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the manager can conclude that there is sufficient evidence to show that the mean number of defective bulbs per case is greater than 20 during the morning shift with no more than a 1% probability of incorrectly rejecting the true null hypothesis.

Question 71

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the manager can conclude that there is sufficient evidence to show that the mean number of defective bulbs per case is greater than 20 during the morning shift using a level of significance of 0.10.

Question 72

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, what critical value should the manager use to determine the rejection region?

A)1.6794
B)1.3011
C)1.3006
D)0.6800

Question 73

Suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.034.The null hypothesis should be rejected if the chosen level of significance is 0.01.

Question 74

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, state the alternative hypothesis for this study.

Question 75

Suppose, in testing a hypothesis about a mean, the p-value is computed to be 0.043.The null hypothesis should be rejected if the chosen level of significance is 0.05.

Question 76

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the parameter the manager is interested in is:

A)the mean number of defective light bulbs per case produced at the plant.
B)the mean number of defective light bulbs per case among the 46 cases.
C)the mean number of defective light bulbs per case produced during the morning shift.
D)the proportion of cases with defective light bulbs produced at the plant.

Question 77

In a hypothesis test, it is irrelevant whether the test is a one-tail or two-tail test.

Question 78

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the manager can conclude that there is sufficient evidence to show that the mean number of defective bulbs per case is greater than 20 during the morning shift with no more than a 5% probability of incorrectly rejecting the true null hypothesis.

Question 79

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the null hypothesis would be rejected.

Question 80

SCENARIO 9-1 Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant.A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift.She will make her decision using a test with a level of significance of 0.10.The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
Referring to Scenario 9-1, the null hypothesis would be rejected if a 5% probability of committing a Type I error is allowed.