6. A hypothesis test with a sample of n = 25 participants produces a t statistic
ID: 3125691 • Letter: 6
Question
6. A hypothesis test with a sample of n = 25 participants produces a t statistic of t = +2.53. Assuming a one-tailed test with the critical region in the right-hand tail, what is the correct decision?
A. The researcher must fail to reject the null hypothesis with either a = .05 or a = .01.
B. The researcher can reject the null hypothesis with either a = .05 or a = .01.
C. The researcher can reject the null hypothesis with a = .05 but not with a = .01.
D. It is impossible to make a decision about H0 without more information
7. A sample is selected from a population with ì = 46 and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, the size of the treatment effect, as measured by Cohen’s d, is ____.
a. Cohen’s d cannot be computed without knowing the sample size
b. d = 0.50
c. d = 0.25
d. d = 0.125
8. If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?
a. M = 90 and large sample variance
b. M = 90 and small sample variance
c. M = 85 and large sample variance
d. M = 85 and small sample variance
9. With a = .05 and df = 8, the critical values for a two-tailed t test are t = ±2.306. Assuming all other factors are held constant, if the df value were increased to df = 20, what would happen to the critical values for t?
A. There is not enough information to answer.
B. They would decrease (move closer to zero).
C. They would increase (move farther from zero).
D. They would stay the same.
10. If two samples are selected from the same population, under what circumstances will the two samples have exactly the same t statistic?
A. If the samples are the same size and have the same mean
B. If the samples have the same mean and the same variance
C. If the samples are the same size and have the same mean and have the same variance
D. If the samples are the same size and have the same variance
Explanation / Answer
6. A hypothesis test with a sample of n = 25 participants produces a t statistic of t = +2.53. Assuming a one-tailed test with the critical region in the right-hand tail, what is the correct decision?
A. The researcher must fail to reject the null hypothesis with either a = .05 or a = .01.
B. The researcher can reject the null hypothesis with either a = .05 or a = .01.
C. The researcher can reject the null hypothesis with a = .05 but not with a = .01.
D. It is impossible to make a decision about H0 without more information
(Critical value at 0.05 level=1.711 and 0.01 level=2.492
We reject at both level))
7. A sample is selected from a population with ì = 46 and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, the size of the treatment effect, as measured by Cohen’s d, is ____.
a. Cohen’s d cannot be computed without knowing the sample size
b. d = 0.50
c. d = 0.25
d. d = 0.125
d=(48-46)/sqrt(16) =0.5
8. If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?
a. M = 90 and large sample variance
b. M = 90 and small sample variance
c. M = 85 and large sample variance
d. M = 85 and small sample variance
9. With a = .05 and df = 8, the critical values for a two-tailed t test are t = ±2.306. Assuming all other factors are held constant, if the df value were increased to df = 20, what would happen to the critical values for t?
A. There is not enough information to answer.
B. They would decrease (move closer to zero).
C. They would increase (move farther from zero).
D. They would stay the same.
10. If two samples are selected from the same population, under what circumstances will the two samples have exactly the same t statistic?
A. If the samples are the same size and have the same mean
B. If the samples have the same mean and the same variance
C. If the samples are the same size and have the same mean and have the same variance
D. If the samples are the same size and have the same variance
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