5 The following output from a twosample ttest using Minitab

5. The following output from a two-sample t-test using Minitab was obtained for a particular problem:

Two-sample T for side_side

Age_Group N Mean StDev SE Mean

elderly 9 22.2 10.3 3.4

young 8 15.13 3.91 1.4

Difference = mu (elderly) - mu (young)

Estimate for difference: 7.10

95% CI for difference: (-1.13, 15.32)

T-Test of difference = 0 (vs not =): T-Value = 1.92 P-Value = 0.083 DF = 10

For which of the following levels of significance would you reject the null hypothesis?

A. 0.01 B. 0.05 C. 0.10 D. None of the above.

Solution

As the P value is

P = 0.083

and this is only less than 0.10 (but not less than 0.05 and 0.01), then it is only significant at 0.10 level.

ANSWER: C. 0.10 [ANSWER]