Male BMIFemale BMIGiven 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 distributedpopulations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts.444425.6455S 7.260314 5.602988nx 27.0185The test statistic, t, is. (Round to two decimal places as needed.)The P-value is (Round to three decimal places as needed.)State the conclusion for the test.O A. Reject the null hypothesis. There is sufficient evidence to warant rejection of the claim that men and women have the same mean BMI.O B. Fail to reject the null hypothesis. Theresufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.O 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.O D. Reject the null hypothesis. There is not 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.(Round to three decimal places as needed.) Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data isimple randonm sample and that the differences have a distribution that is approximately normal, Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use thconfidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected.Friday the 6th6.12Friday the 13th1013131211In this example, H. is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospitaadmissions on Friday the 13th. Find the 95% confidence interval.(Round to two decimal places as needed.)Based on the confidence interval, can one reject the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected?O A. Yes, because the confidence interval does not include zero.O B. No, because the confidence interval does not include zero.O C. Yes, because the confidence interval includes zero.O D. No, because the confidence interval includes zero.

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Since there are 2 different questions, I solved 1st problem as per Bartleby rules.
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