Question

In: Statistics and Probability

A personality psychologist wanted to know if men and women differ in their sympathy and compassion...

A personality psychologist wanted to know if men and women differ in their sympathy and compassion expressed to others. She gave a personality test to randomly selected men and women. One component of the test measured empathy, with higher scores indicating more empathy. The data are shown in the spreadsheet. Carry out a t-test on H0: μ M = μ W (population means for Men and Women are the same) vs. Ha: μ M ≠ μ W (population means for Men and Women differ) at the alpha=.05 level.

ID # Males Females
1 13 22
2 20 20
3 12 26
4 16 25
5 13 28
6 26 24
7 21 16
8 23 19
9 11 20
10 15 23
11 18 21
12 25 23
13 15 15
14 23 26
15 17 19
16 13 24

A) what is the observed value of t?

-2.48, -2.05, 2.88, -2.88, 2.48

B) what are the critical values of t?

2.48, +/- 2.05, +/- 2.04, +/- 1.70, -1.70, +2.04

C) what is the probability (P) value of the test?

0.007, 0.004, 0.05, 0.02, .98

Solutions

Expert Solution


orchestra answered 1 year ago
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