Deck 10: Only the Lonely: the One Sample Z-Test

Question 1

The numerator of the equation for the z value is ______.

A)the population average subtracted from the mean of the sample
B)the mean of the sample subtracted from the population average
C)the mean of the sample minus the standard error of the mean
D)the standard error of the mean added to the mean of the sample

Answer 1

the population average subtracted from the mean of the sample

Question 2

If the obtained value is higher than the critical value,what is the conclusion?

A)Reject the research hypothesis.
B)Accept the null hypothesis.
C)Reject the null hypothesis.
D)Cannot be determined.

Answer 2

Reject the null hypothesis.

Question 3

After conducting a one-sample Z-test,you arrived at a value of -12.5 for the z value.What is your conclusion?

A)Reject the null hypothesis.
B)Accept the null hypothesis.
C)The result is too close to call.
D)You have miscalculated.

Answer 3

Reject the null hypothesis.

Question 4

The level of risk associated with the null hypothesis is generally set at ______.

A)0.05
B)0.10
C)0.001
D)0.20

Question 5

How many groups are compared in a one-sample Z-test?

A)1
B)2 or more
C)3
D)4

Question 6

After the z value is calculated,locate the ______ from a table of z scores.

A)obtained value
B)test value
C)calculated value
D)critical value

Question 7

The one-sample Z-test is used to compare the ______ to the ______.

A)mean of a sample;mean of a population
B)mean of a population;mean of a sample
C)mean of a sample;mean of a second sample
D)mean of a population;mean of a second population

Question 8

After conducting a one-sample Z-test,you arrived at a value of 5.7 for the z value.What is your conclusion?

A)Reject the null hypothesis.
B)Accept the null hypothesis.
C)The result is too close to call.
D)You have miscalculated.

Question 9

Calculation of the one-sample Z-test gives you ______.

A)the critical value
B)the obtained value
C)the level of significance
D)power

Question 10

The denominator in the equation for the z value is equal to ______.

A)the population average subtracted from the mean of the sample
B)the mean of the sample subtracted from the population average
C)the standard error of the mean minus the population average
D)the standard error of the mean

Question 11

How is the standard error of the mean calculated?

A)the population standard deviation divided by the square root of the size of the sample
B)the population standard deviation divided by the size of the sample
C)the square root of the size of the sample divided by the population standard deviation
D)the sample standard deviation divided by the size of the sample

Question 12

The null hypothesis in a one-sample Z-test would be represented as follows:

A)H₀: $\mu$ ₁ = $\mu$ ₂
B)H_0: = µ
C)H₁: X₁ = X₂
D)H_1: = µ

Question 13

The standard deviation of all possible means selected from the population is the ______.

A)standard error of the population
B)standard error of the median
C)standard error of the mean
D)standard error of the sample

Question 14

What is the denominator in the equation for the z value in a one-sample Z-test?

A)standard error of the median
B)standard error of the population
C)standard error of the mean
D)standard error of the sample

Question 15

If our sample selection was perfect,what would be the difference between the sample and population averages?

A)0
B)1
C)1 or greater
D)less than 1

Question 16

An alternative hypothesis in a one-sample Z-test could be represented as follows:

A)H₁: X₁ ≠ X₂
B)H_0: = µ
C)H₀: X₁ ≠ X₂
D)H_1: ≠ µ

Question 17

The standard error of the mean is the best estimate that we can come up with given that it is impossible to compute ______.

A)all of the possible variances
B)all of the possible standard deviations
C)all of the possible means
D)all of the possible medians

Question 18

A value of 0.2 for the z value after conducting a one-sample Z test leads to which conclusion?

A)Reject the null hypothesis.
B)Accept the null hypothesis.
C)The result is too close to call.
D)None of these.

Question 19

If the sample mean is 20,the population average is 10,and the standard error of the mean is 2,what is the observed z value?

A)-5
B)5
C)0
D)50

Question 20

If the obtained value is NOT higher than the critical value,we ______.

A)reject the null hypothesis
B)accept the null hypothesis
C)accept all hypotheses
D)reject all hypotheses

Question 21

What is the meaning of SEM in the formula for calculating a z score?

A)standard error of the median
B)standard ease of the mean
C)standard error of the mode
D)standard ease of the mean.

Question 22

Calculate the observed z value using a sample mean of 25,a population average of 20,and a standard error of the mean of 8.

A)1.5
B)3.0
C)-5.0
D)0.63

Question 23

In z = 2.56,p < 0.05,what is the probability?

A)p < 0.05
B)2.56
C)z = 2.56
D)There is no probability here.

Question 24

In the formula for calculating a z score,what does σsignify?

A)standard error of the mean
B)the z value
C)the sample standard deviation
D)the population standard deviation

Question 25

If the sample mean is 30,the population average is 10,and the standard error of the mean is 5,what is the observed z value?

A)6
B)-2.5
C)20
D)4

Question 26

The level of significance is determined by which of the following?

A)participants
B)researchers
C)study sponsors
D)results

Question 27

If the sample mean is 100,the population average is 90,and the standard error of the mean is 10,what is the observed z value?

A)0
B)-0.10
C)1.0
D)-1.0

Question 28

If you have a sample size of 4 and a population standard deviation of 12,what is your standard error of the mean?

A)-3
B)11
C)6
D)5

Question 29

In z = 2.56,p < 0.05,what is the obtained value?

A)0.05
B)<0.05
C)2.56
D)2.56 ÷ 0.05

Question 30

If you have a sample size of 16 and a population standard deviation of 40,what is your standard error of the mean?

A)-10
B)10
C)5
D)-5

Question 31

In the statement,z = 1.42,p > 0.05,which of the following interpretations is TRUE?

A)There is a significant difference between the sample value and the population.
B)There is a marginally significant difference between the sample value and the population.
C)There is not a significant difference between the sample value and the population.
D)The answer cannot be determined from the information given.

Question 32

In the formula for calculating standard error of the mean,what does n signify?

A)the population average
B)the sample size
C)the population size
D)the sample average

Question 33

With a sample mean of 10,a population average of 15,and a standard error of the mean of 10,calculate the observed z value.

A)2.5
B)-0.5
C)0.5
D)2.0

Question 34

If you have a population standard deviation of 20 and a sample size of 4,what is your standard error of the mean?

A)-10
B)10
C)5
D)-5

Question 35

If you have a population standard deviation of 10 and a sample size of 4,what is your standard error of the mean?

A)-5
B)14
C)6
D)5

Question 36

If the population average is 45,the sample mean is 50,and the standard error of the mean is 5,what is the observed z value?

A)0
B)-0.1
C)1
D)-1

Question 37

If the sample mean is 25,the population average is 5,and the standard error of the mean is 10,what is the observed z value?

A)5
B)2.5
C)-2
D)2

Question 38

In the statement z = 3.14,p < 0.05,which of the following interpretations is TRUE?

A)There is a significant difference between the sample value and the population.
B)There is a marginally significant difference between the sample value and the population.
C)There is not a significant difference between the sample value and the population.
D)The answer cannot be determined from the information given.

Question 39

If you have a population standard deviation of 18 and a sample size of 9,what is your standard error of the mean?

A)-3
B)11
C)6
D)5

Question 40

In the formula for calculating a z score,what does μsignify?

A)the obtained value
B)the critical value
C)the population average
D)the sample average

Question 41

If you have a population standard deviation of 18 and a sample size of 36,what is your standard error of the mean?

A)-3.0
B)7.0
C)10.0
D)3.0

Question 42

In interpreting effect size,what is the meaning of effect size at 0.8?

A)small effect size
B)medium effect size
C)large effect size
D)weak effect size

Question 43

SPSS does NOT offer which of the following?

A)one-sample t-test
B)one-sample Z-test
C)one-sample F-test
D)one-sample Chi-square test

Question 44

In a t-test,if the resultant t value is 2.72 and p < 0.05,what is the interpretation?

A)There is a statistical significance in the test.
B)There is no statistical significance in the test.
C)unknown
D)The sample is unaffected

Question 45

For the t-test,the population's standard deviation is ______.

A)not known
B)known
C)not relevant
D)not sure

Question 46

You have a sample mean of 11,a population average of 17,and a standard error of the mean of 3.Calculate the observed z value.

A)14.0
B)8.0
C)-2.0
D)2.2

Question 47

In the effect size formula,what does d signify?

A)the sample mean
B)effect size
C)the population mean
D)the population standard deviation

Question 48

If you have a population standard deviation of 18 and a sample size of 81,what is your standard error of the mean?

A)-3.0
B)2.0
C)-2.0
D)9.0

Question 49

If you have a population standard deviation of 9 and a sample size of 81,what is your standard error of the mean?

A)-3.0
B)2.0
C)1.0
D)0

Question 50

If you have a population standard deviation of 7 and a sample size of 100,what is your standard error of the mean?

A)-3.0
B)7.0
C)10.0
D)0.7

Question 51

In the effect size formula,what does σ signify?

A)the sample mean
B)effect size
C)the population mean
D)the population standard deviation

Question 52

The sample mean is 12,the population average is 19,and the standard error of the mean is 4.What is the observed z value?

A)-1.75
B)-0.75
C)1.75
D)3.5,

Question 53

In a t-test,if the resultant t value is -2.72 and p < 0.05,what is the interpretation?

A)There is a statistical significance in the test.
B)There is no statistical significance in the test.
C)unknown
D)The sample is unaffected.

Question 54

For the Z-test,the population's standard deviation is ______.

A)not known
B)known
C)not relevant
D)not sure

Question 55

A one-sample Z-test can be used to compare the mean of two samples.

Question 56

What is the meaning of an effect size at 0.2?

A)small effect size
B)medium effect size
C)large effect size
D)weak effect size

Question 57

What is the standard error of the mean when you have a sample size of 144 and a population standard deviation of 9?

A)7.5
B)0.75
C)12
D)8

Question 58

In the effect size formula,what does X bar signify?

A)the sample mean
B)effect size
C)the population mean
D)the population standard deviation

Question 59

What is the standard error of the mean when you have a population standard deviation of 2 and a sample size of 9?

A)0.76
B)-0.67
C)0.67
D)-0.76

Question 60

In interpreting effect size,what is the meaning of effect size at 0.4?

A)small effect size
B)medium effect size
C)large effect size
D)weak effect size

Question 61

What is effect size?

Question 62

Sample size is taken into account when computing effect size.

Question 63

According to your text,there are eight steps that you should follow in order to compute and interpret a Z-test statistic manually.

Question 64

The results of both one-sample Z- and t-test are basically the same when the sample size is greater than 30.

Question 65

Write out,in words,a research hypothesis for this statement: The Geography Department is interested in finding out if the average GPA of this year's graduating seniors is comparable to the average GPA of graduating seniors over the last 40 years.

Question 66

SPSS does not offer a one-sample t-test.

Question 67

Effect size is a measure of how different two groups are from one another.

Question 68

A large effect size is any value above 0.8.

Question 69

What are the guidelines in using effect size?

Question 70

Dr.Meow teaches Engineering Science 101 and is interested in finding out whether her students perform better on math tests compared to all of the engineering students in the university.State this as a null hypothesis.

Question 71

What is an example in which a one-sample Z test would be appropriate?

Question 72

If you're comparing the test scores between two classrooms,you should use a one-sample Z-test.

Question 73

Mr.Moo would like to find out if his daisies grow at a faster average rate than the average rate of daisy growth in his neighborhood.State this as a null hypothesis.

Question 74

Write the formula of a directional or nondirectional research hypothesis for the following research problem: The Geography Department is interested in finding out if the average GPA of this year's graduating seniors is comparable to the average GPA of graduating seniors over the last 40 years.

Question 75

SPSS does not offer a one-sample Z-test.

Question 76

Dr.Meow teaches Engineering Science 101 and is interested in finding out whether her students perform better on math tests compared to all of the engineering students in the university.State this as a research hypothesis.

Question 77

Mr.Moo would like to find out if his daisies grow at a faster average rate than the average rate of daisy growth in his neighborhood.State this as a research hypothesis.

Question 78

According to your text,there are five steps that you should follow in order to compute and interpret a Z-test statistic manually.