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The accompanying table gives results from a study of words spoken in a day by me

ID: 3314453 • Letter: T

Question

The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. Men Women 186 211 15,668.1 16,214.6 8,632.1 7,301.3 vviar are une riuir ana ailermauve Typoulesesr 2-2 H1 : 202 1 2 1 2 Identify the test statistic. Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Fail to reject Ho There is sufficient evidence to support the claim that the numbers of words spoken O B. Fail to reject Ho. There is insufficient evidence to support the claim that the numbers of words C Reject Ho There is sufficient evidence to support the claim that the numbers o words spoken in a O D Reject Ho There is 'nsufficient evidence to support the calm that the numbers o words spoken in a in a day by men vary more than the numbers of words spoken in a day by women. spoken in a day by men vary more than the numbers of words spoken in a day by women. day by men vary more than the numbers of words spoken in a day by women. day by men vary more than the numbers of words spoken in a day by women.

Explanation / Answer

for hypothesis: option A is correct

test statistic F =(s1/s2)2 =1.40

p value for (185,210)degree of freedom =0.0091 ( please try 0.0094 if this does not work due to rounding error )

conclusion:option C is correct

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