Male BMI Female BMI H1 H2 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 0.05 significance level for both parts. 44 44 27.4831 26.0305 7.298362 5.488628 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O A. Ho H1#2 O B. Ho 2 Hy Hy

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Male BMI Female BMI
H2
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple u
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 0.05 significance level for both parts.
44
44
27.4831
s 7.298362
26.0305
5.488628
a. Test the claim that males and females have the same mean body mass index (BMI).
What are the null and alternative hypotheses?
O A. Ho H1#H2
O B. Ho =P2
Hy Hy <H2
O D. Ho H =#2
OC. Ho HyZH2
Hi Hy <H2
The test statistic, t, is. (Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
Transcribed Image Text:Male BMI Female BMI H2 Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple u 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 0.05 significance level for both parts. 44 44 27.4831 s 7.298362 26.0305 5.488628 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O A. Ho H1#H2 O B. Ho =P2 Hy Hy <H2 O D. Ho H =#2 OC. Ho HyZH2 Hi Hy <H2 The test statistic, t, is. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)
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 (b) below. Use a 0.05 significance level for both parts.
44
44
26.0305
5.488628
27.4831
X
s 7.298362
State the conclusion for the test.
O A. 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 B. 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.
O C. Reject the null hypothesis. There is 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.)
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 (b) below. Use a 0.05 significance level for both parts. 44 44 26.0305 5.488628 27.4831 X s 7.298362 State the conclusion for the test. O A. 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 B. 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. O C. Reject the null hypothesis. There is 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.)
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