The accompanying table gives results from a study of wards spokem in a day by me

Question

The accompanying table gives results from a study of wards spokem in a day by men and women Assume thut both samples are signißcance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spokon in a day bywomen indspendent single random samples trom populations having normal dit budions Ubse a 0 05 Men Women 187 208 15,668 6 16,2154 8,632 9 7,301.1 What are the nul and altemative hypotheses? O C. Identify the test stafisltic FRound to twro decimal places as needed Use technology to idenily the P-value The P-value ibRound to three decimal places as needed) What is the conclusion for this hypothesis test? Click to select your answerts)

Explanation / Answer

Null and alternative hypothesis

option B is correct

H0: ?12 = ?22

H1: ?12 > ?22

F = s12 / s22 = 8632.9 / 7301.1 = 1.18

degrees of freedom = (187 - 1), (208 - 1) = 186, 207

p value = p(F > 1.18) = 0.1229

option C

Do not reject H0

There is insufficient evidence

since p value = 0.1229 > 0.05

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