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. Male BMI Female BMI u2 43 ul 43 27.5519 24.6556 5.512939 8.506336 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? A. H0: μ14 μ2 H1: μ1< μ2 B. HO: μ1 - μ2 H1: µ1 > µ2 C. HO: µ1 = µ2 H1: µ1 # µ2 D. HO: μ12 μ2 H : μ1< μ2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is decimal places asneeded.) (Round to three State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to warrant

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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.
Male BMI
Female BMI
ul
43
27.5519
In
43
24.6556
5.512939
8.506336
a. Test the claim that males and females have
the same mean body mass index (BMI).
What are the null and alternative hypotheses?
A. HO: μ1 + μ2
H1: μ1 > μ2 C. HO : μ1 = μ2 H1: μ1 μ2
H1: μ1< μ2 B. HO: μ1 μ2
D. HO: μ1 μ2
H1: μ1< μ2
The test statistic, t, is
(Round to two decimal places as needed.)
The P-value is
. (Round to three
decimal places asneeded.)
State the conclusion for the test.
A. 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. 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.
C. Reject the null hypothesis. There
is sufficient evidence to warrant rejection of
the claim that men and women have the same
mean BMI.
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.
< μ1- μ2 <.
(Round to two decimal places as needed.)
Transcribed Image Text: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. Male BMI Female BMI ul 43 27.5519 In 43 24.6556 5.512939 8.506336 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? A. HO: μ1 + μ2 H1: μ1 > μ2 C. HO : μ1 = μ2 H1: μ1 μ2 H1: μ1< μ2 B. HO: μ1 μ2 D. HO: μ1 μ2 H1: μ1< μ2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is . (Round to three decimal places asneeded.) State the conclusion for the test. A. 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. 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. C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. 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. < μ1- μ2 <. (Round to two decimal places as needed.)
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