μ 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 n level for both parts. What are the null and alternative hypotheses? OA. Ho H₁ =H2 OC. Ho Hiếu 2 H₁: H1 H2 The test statistic, t, is 2.81. (Round to two decimal places as needed.) The P-value is 0.007. (Round to three decimal places as needed.) State the conclusion for the test. B. Ho: H1 H2 H₁: H1 H2 OD. Ho: H₁₂ H₁₁₂ OA. 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. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. OC. 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. 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. H1 H2 ☐ (Round to three decimal places as needed.) Male BMI Female BMI H1 H₂ x S 50 27.4894 7.214024 50 24.1272 4.430198
μ 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 n level for both parts. What are the null and alternative hypotheses? OA. Ho H₁ =H2 OC. Ho Hiếu 2 H₁: H1 H2 The test statistic, t, is 2.81. (Round to two decimal places as needed.) The P-value is 0.007. (Round to three decimal places as needed.) State the conclusion for the test. B. Ho: H1 H2 H₁: H1 H2 OD. Ho: H₁₂ H₁₁₂ OA. 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. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. OC. 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. 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. H1 H2 ☐ (Round to three decimal places as needed.) Male BMI Female BMI H1 H₂ x S 50 27.4894 7.214024 50 24.1272 4.430198
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:μ
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 n
level for both parts.
What are the null and alternative hypotheses?
OA. Ho H₁ =H2
OC. Ho Hiếu 2
H₁: H1 H2
The test statistic, t, is 2.81. (Round to two decimal places as needed.)
The P-value is 0.007. (Round to three decimal places as needed.)
State the conclusion for the test.
B. Ho: H1 H2
H₁: H1 H2
OD. Ho: H₁₂
H₁₁₂
OA. 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. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
OC. 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. 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.
H1 H2
☐
(Round to three decimal places as needed.)
Male BMI Female BMI
H1
H₂
x
S
50
27.4894
7.214024
50
24.1272
4.430198
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