Male BMI Female BMI Given in the table are the BMI statistics for random sampies 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 n (b) below. Use a 0.01 significance level for both parts. H2 48 48 27.3862 25.1279 S 7.856039 4207548 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA Ho: H1 # 42 B. Họ: H1 = 2 OC. Ho: H12H2 OD. Ho H =H2 H H> H2 H: H Z1 - t> (Round to three decimal places as needed.)

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Q5-Hi Bartleby team, I'm struggling with this general topic so please provide an answer and a short explanation for all the part of the exercise. Thanks in advance.

Male BMI
Female BMI
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 n
(b) below. Use a 0.01 significance level for both parts.
H2
48
25.1279
4 207548
48
27.3862
7.856039
a. Test the claim that males and females have the same mean body mass index (BMI).
What are the null and alternative hypotheses?
B. Họ: P1 = 42
H H2
OD. Ho H=H2
H: H>H2
OA Ho: H1#P2
H: H <H2
OC. Ho: H1 242
The 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.
OA. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
B. 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'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. 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.
(Round to three decimal places as needed.)
Transcribed Image Text:Male BMI Female BMI 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 n (b) below. Use a 0.01 significance level for both parts. H2 48 25.1279 4 207548 48 27.3862 7.856039 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? B. Họ: P1 = 42 H H2 OD. Ho H=H2 H: H>H2 OA Ho: H1#P2 H: H <H2 OC. Ho: H1 242 The 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. OA. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. B. 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'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. 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. (Round to three decimal places as needed.)
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