16. A sample has a mean of M = 39.5 and a standard deviation of s = 4.3, and pro

Question

16. A sample has a mean of M = 39.5 and a standard deviation of s = 4.3, and produces a t statistic of t = 2.14. For a two-tailed hypothesis test with a = .05, what is the correct statistical decision for this sample?

a. The researcher must fail to reject the null hypothesis with either a = .05 or a = .01.

b. It is impossible to make a decision about H0 without more information.

c. The researcher can reject the null hypothesis with a = .05 but not with a = .01.

d. The researcher can reject the null hypothesis with either a = .05 or a = .01.

17. If other factors are held constant, as the sample variance increases, the estimated standard error also increases.

False

True

18. In a hypothesis test, a large value for the sample variance increases the likelihood that you will find a significant treatment effect.

True

False

19. A research report states “t(15) = 2.31, p < .05.” For this study, the sample had n = 16 scores.

False

True

20. For a one-tailed test with a = .05 and a sample of n = 9, the critical value for the t statistic is t = 1.860.

True

False

Explanation / Answer

16. A sample has a mean of M = 39.5 and a standard deviation of s = 4.3, and produces a t statistic of t = 2.14. For a two-tailed hypothesis test with a = .05, what is the correct statistical decision for this sample?

a. The researcher must fail to reject the null hypothesis with either a = .05 or a = .01.

b. It is impossible to make a decision about H0 without more information.

( sample size is needed to obtain critical value)

c. The researcher can reject the null hypothesis with a = .05 but not with a = .01.

d. The researcher can reject the null hypothesis with either a = .05 or a = .01.

17. If other factors are held constant, as the sample variance increases, the estimated standard error also increases.

False

True

18. In a hypothesis test, a large value for the sample variance increases the likelihood that you will find a significant treatment effect.

True

False

19. A research report states “t(15) = 2.31, p < .05.” For this study, the sample had n = 16 scores.

False

True

(DF=n-1, here 15=16-1)

20. For a one-tailed test with a = .05 and a sample of n = 9, the critical value for the t statistic is t = 1.860.

True

False

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