19. Tony T-Test is studying sex differences in children\'s aggressive play episo

Question

19. Tony T-Test is studying sex differences in children's aggressive play episodes. he observes 3 boys and 3 girls playing and counts the number of aggressive play episodes per day. He intends to do a one-tailed T-Test for difference between independent groups. He believes that boys are more aggressive than females. Test Tony's hypothesis at the .05 level with the following data. What is the p value for the t-test? Boys: 8, 10, 12 Girls: 2, 5, 4 Round to the 2nd decimal place. Check Answer Sorry. Use your calcalator and run a one tail t-test. Your p-value should be very small.

Explanation / Answer

Using MINITAB

The command is Stat>>>Basic Statistics >>2 sample t...

Samples in different columns: Choose if the data of the two samples are in separate columns.

First: Enter the column containing one sample.

Second: Enter the column containing the other sample.

MTB > TwoSample 'Boys' 'Girls';
SUBC>   Pooled;
SUBC>   Alternative 1.

Two-Sample T-Test and CI: Boys, Girls

Two-sample T for Boys vs Girls

            N   Mean StDev SE Mean
Boys    3 10.00   2.00      1.2
Girls      3   3.67   1.53     0.88

Difference = mu (Boys) - mu (Girls)
Estimate for difference: 6.33
95% lower bound for difference: 3.24
T-Test of difference = 0 (vs >): T-Value = 4.36 P-Value = 0.006 DF = 4
Both use Pooled StDev = 1.7795

P-value = 0.006

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