Male BMI Female BMI H2 49 49 х 27.8161 26.5217 7.815516 5.982655
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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Question
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 0.01 significance level for both parts.
a. Test the claim that males and females have the same mean body mass index (BMI)
What are the null and alternative hypotheses?
What is the test statistic, t?
What is the P-value?
State the conclusion for the test.
b. Construct a confidence interval suitable for testing the claim that males and females have the same mean body mass index (BMI).
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