A group of researchers wants to examine whether taking multiple
practice quizzes improve scores on tests. They compare the exam
scores for a sample of n1 = 12 students who
took multiple practice quizzes with the test scores of a sample of
n2 = 10 students who did not do any practice
quizzes. Results of the study revealed that the practice quiz group
had M1 = 95, SS1 = 52. The
no quiz group had M2 = 92,
SS2 = 48.
(a) Compute the degrees of fredom for an Independent-Measures
T-test.
df =
(b) Determine the critical value of t for a two-tailed test at the 0.01 level of significance. (Use 3 decimal places.)
t-critical = ±
(c) Calculate the Pooled Variance: (Use 3 decimal places.)
SP2 =
(d) Calculate the Standard Error of the Difference in the Means: (Use 3 decimal places.)
S(M1-M2) =
(e) Calculate the t statistic: (Use 3 decimal places.)
t =
(f) Should you reject or retain the null (Ho) for the two-tailed test with α = 0.01? And was there a statistically significant effect?
Fail to reject the null hypothesis, there is not a significant difference between the practice quiz and no quiz groups.
Reject the null hypothesis, there is not a significant difference between the practice quiz and no quiz groups.
Reject the null hypothesis, there is a significant difference between the practice quiz and no quiz groups.
Fail to reject the null hypothesis, there is a significant difference between the practice quiz and no quiz groups.
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