21. A researcher conducts a hypothesis test using a sample of n = 40 from an unk

Question

21. A researcher conducts a hypothesis test using a sample of n = 40 from an unknown population. What is the df value for the t statistic?

a. 40

B. 41

c. 39

d. It cannot be determined from the information given.

22. If other factors are held constant, what is the effect of increasing the sample variance?

a. It will increase the estimated standard error and increase the likelihood of rejecting H0.

b. It will decrease the estimated standard error and decrease the likelihood of rejecting H0.

c. It will decrease the estimated standard error and increase the likelihood of rejecting H0.

d. It will increase the estimated standard error and decrease the likelihood of rejecting H0.

23. Which set of characteristics will produce the smallest value for the estimated standard error?

a. A small sample size and a large sample variance

b. A small sample size and a small sample variance

c. A large sample size and a small sample variance

d. A large sample size and a large sample variance

24. If a hypothesis test using a sample of n = 16 scores produces a t statistic of t = 2.15, then the correct decision is to reject the null hypothesis for a two-tailed test with a = .05.

True

False

25. On average, what value is expected for the t statistic when the null hypothesis is true?

a. 1.96

b. 0

c. t > 1.96

d. 1

Explanation / Answer

21. A researcher conducts a hypothesis test using a sample of n = 40 from an unknown population. The df is n-1=39

22. If other factors are held constant, what is the effect of increasing the sample variance:

d. It will increase the estimated standard error and increase the likelihood of rejecting H0.

23. a. A small sample size and a large sample variance will produce the smallest value for the estimated standard error.

24.Now, t(15,0.05)=+/-2.131

Since, t=2.15 falls in the critical region, reject H0.

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