PLEASE DO QUESTIONS FROM 10 - 13 This is a review on finding p-values. Recall, t

Question

PLEASE DO QUESTIONS FROM 10 - 13

This is a review on finding p-values. Recall, the p-value is the area to the LEFT side of the test statistic if Hi is a LEFT tail test and it is the area to the RIGHT side of the test statistic if Hi is a Right tail test. In the case of a two tail test, the smaller area is doubled. Find the p-value for the following test statistics. H_1: mu_1 - mu_2 0, t = 3.19, df = 7 H_1: p_1 - p_2 > 0, z = 2.84 H_1: p_1 - p_2 notequalto 0, z = -1.69 x^2 = 13-59, df = 8 H_1: sigma_1 > sigma_2, F = 7.95, df_1 = 8, df_2 = 5 H_1: mu 50, t = -1.62, df = 9

Explanation / Answer

10:

The p-value of the test by chi square table:

0.05 < p < 0.10

By calculator :

P-value = 0.0931

11:

Alternative hypothesis shows that test is right tailed. So p-value of the test by F-table:

0.01 < p < 0.025

By calculator :

P-value = 0.0177

12:

Alternative hypothesis shows that test is left tailed. So p-value of the test by t-table:

0.05 < p < 0.10

By calculator :

P-value = 0.0698

13:

Alternative hypothesis shows that test is right tailed. So p-value of the test by calculator :

P-value = 1 - 0.0698 = 0.9302

It is complement of question 12.

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