Deck 6: Inferences About a Single Mean

Question 1

In hypothesis testing, the probability of rejecting H₀ when H₀ is false is denoted by

A) $\alpha$
B) 1 - $\alpha$
C) $\beta$
D) 1 - $\beta$

Answer 1

$\beta$

Question 2

When testing the hypothesis presented below, at a .05 level of significance with the t test, where is the rejection region?

A) the upper tail
B) the lower tail
C) both the upper and tails
D) cannot be determined

Answer 2

A

Question 3

When testing the hypothesis presented below, at a .05 level of significance with the t test, where is the rejection region?

A) the upper tail
B) the lower tail
C) both the upper and tails
D) cannot be determined

Answer 3

C

Question 4

A research question asks, "Is the mean number of hours spent studying per week for college freshmen lower than 15?" Which one of the following is implied?

A) left-tailed test
B) right-tailed test
C) two-tailed test
D) cannot be determined based on this information

Question 5

A research question asks, "Is the mean age (in years) of first-year teachers different from 25?" Which one of the following is implied?

A) left-tailed test
B) right-tailed test
C) two-tailed test
D) cannot be determined based on this information

Question 6

A research question asks, "Is the mean commute (in miles) to college more than 15 miles?" Which one of the following is implied?

A) left-tailed test
B) right-tailed test
C) two-tailed test
D) cannot be determined based on this information

Question 7

A research question asks, "Is the mean purchase price of required textbooks for one semester higher than $750?" Which one of the following is implied?

A) left-tailed test
B) right-tailed test
C) two-tailed test
D) cannot be determined based on this information

Question 8

The probability of making a Type I error when the level of significance is .05 is which one of the following?

A) 0
B) .05
C) .10
D) between .05 and .95
E) .90 f. .95

Question 9

The probability of making a Type I error when the level of significance is .10 is which one of the following?

A) 0
B) .05
C) .10
D) between .05 and .95
E) .90 f. .95

Question 10

If the 90% CI includes the value for the parameter being estimated in H₀, then which one of the following is a correct statement?

A) H₀ cannot be rejected at the .10 level
B) H₀ can be rejected at the .10 level
C) H₀ cannot be rejected at the .01 level
D) H₀ can be rejected at the .01 level

Question 11

If the 99% CI includes the value for the parameter being estimated in H₀, then which one of the following is a correct statement?

A) H₀ cannot be rejected at the .10 level
B) H₀ can be rejected at the .10 level
C) H₀ cannot be rejected at the .01 level
D) H₀ can be rejected at the .01 level

Question 12

If the 99% CI does not include the value for the parameter being estimated in H₀, then which one of the following is a correct statement?

A) H₀ cannot be rejected at the .10 level
B) H₀ can be rejected at the .10 level
C) H₀ cannot be rejected at the .01 level
D) H₀ can be rejected at the .01 level

Question 13

A one-sample t test is conducted at an alpha level of .05. The researcher finds a p value of .08 and concludes that the test is statistically significant. Is the researcher correct?

Question 14

A research article reports an alpha level of .05 and a p value of .10. Based on this, the author concludes that the test is statistically significant. Is the researcher correct?

Question 15

A research article reports an alpha level of .10 and a p value of .05. Based on this, the author concludes that the test is statistically significant. Is the researcher correct?

Question 16

A research article reports an alpha level of .01 and a p value of .05. Based on this, the author concludes that the test is statistically significant. Is the researcher correct?

Question 17

A research article reports an alpha level of .05 and a p value of 1.20. Based on this, the author concludes that the test is NOT statistically significant. Is the researcher correct?

Question 18

A research article reports an alpha level of .01 and a p value of 2.0. Based on this, the author concludes that the test is NOT statistically significant. Is the researcher correct?

Question 19

Which one of the following is a correct interpretation of d = .19?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .05
E) Not statistically significant at .05

Question 20

Which one of the following is a correct interpretation of d = .51?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .05
E) Not statistically significant at .05

Question 21

Which one of the following is a correct interpretation of d = .99?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .05
E) Not statistically significant at .05

Question 22

Which one of the following is a correct interpretation of d = .90?

A) Small effect
B) Moderate effect
C) Large effect
D) Statistical significance at .05
E) Not statistically significant at .05

Question 23

Which one of the following is a correct interpretation of the significance level?

A) alpha level
B) confidence interval
C) effect size
D) observed probability
E) power

Question 24

Which one of the following is a correct interpretation of p value?

A) alpha level
B) confidence interval
C) effect size
D) observed probability
E) power

Question 25

Which one of the following is a correct interpretation of $\beta$ ?

A) alpha level
B) confidence interval
C) effect size
D) observed probability
E) power

Question 26

Using this random sample of data, test the following hypothesis at the .05 level of significance using SPSS. Interpret the output including identifying the specific statistical procedure that has been used and reporting the extent to which the test is statistically significant. Include appropriate evidence (e.g., values from the output).

Question 27

Using this random sample of data, test the following hypothesis at the .05 level of significance using SPSS. Interpret the output including identifying the specific statistical procedure that has been used and reporting the extent to which the test is statistically significant. Include appropriate evidence (e.g., values from the output).

Question 28

Refer to the t table and provide a numerical value for the percentile rank of t₂₀ = 2.528.

Question 29

Refer to the t table and provide a numerical value for the percentile rank of t₄₀ = 2.021.

Question 30

Refer to the t table and provide a numerical value for the 99th percentile of the distribution of t_1.