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 185 Women 212 15,667.7 6,214.3 8,632.1 7,301.9 What are the null and altenative hypotheses? Identify the test statistic. F(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? Click to select your answerfs).
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Answer #1

Solution :

?=0.05

• C

Ho: ?12??22

Ha: ?12 >?22

• F = 1.40

• P – Value = 0.009

Conclusion : P value is less than 0.05 hence reject Null hypothesis, that is we have significant evidence to support claim.

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