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Male BMI H Given in the table are the BMI statistics for random samples of men and women Assume that the two samples are independent

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Male BMI H Given in the table are the BMI statistics for random samples of men and women Assume that the two samples are independent simple random samples selected from normally distributed populations and do not assume that the population standard deviations are equal Complete parts a and b below Use a 0 01 significance level for both parts n 40 X 28 3394 S 7 959978 G The test statistic t is 2 14 Round to two decimal places as needed The P value is 0 032 Round to three decimal places as needed State the conclusion for the test Female BMI H 40 25 2003 4 804346 O A Reject the null hypothesis There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI OB Reject the null hypothesis There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI C Fail to reject the null hypothesis There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI OD Fail to reject the null hypothesis There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI b Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI 014 12 0

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