Male BMI Female BMI μ H₁ H₂ n 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. 50 50 27.3489 25.6114 S 7.767484 4.383547 X 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 H₂ OB. Ho: H1 H₂ H₁: Hy H₂ OC. Ho: H₁ H₂ O D. Ho: H1 H2 H₁: H₁ H₂ H₁: Hy
Male BMI Female BMI μ H₁ H₂ n 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. 50 50 27.3489 25.6114 S 7.767484 4.383547 X 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 H₂ OB. Ho: H1 H₂ H₁: Hy H₂ OC. Ho: H₁ H₂ O D. Ho: H1 H2 H₁: H₁ H₂ H₁: Hy
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Male BMI Female BMI
H₂
50
50
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.
27.3489 25.6114
7.767484 4.383547
...
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: M₁ = H2
O B. Ho: H₁ H₂
H₁: H₁ H₂
H₁ H₁ <H₂
OC. Ho: H₁
H₂
O D. Ho: H₁ = H2
H₁: H₁ H₂
H₁ H₁ <H₂
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.
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.
B. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
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.
<H₁-H₂<
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion of the test?
because the confidence interval contains
SXF
n
F
H₁
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