nferential Stats) Question 10 of 15 Given in the table are the BMI statistics for random samples of men and women. Assume that the fwo samples are independent sin distributed populations, and do not assume that the population standard deviations are equal. Complete paris (a) and (b) below. U State the conclusion for the test. A. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the s B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the C. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. \[ -2.746<\mu_{1}-\mu_{2}<4.951 \] (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? \( \square \) because the confidence interval contains zero. Search
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The null hypothesis is that the mean BMI of men and women is the same (\(\mu_1 = \mu_2\)). The alternative hypothesis is that the mean BMI of men and women is different (\(\mu_1 \neq \mu_2\)). Show moreā¦
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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 Ī¼ Ī¼1 Ī¼2 n 50 50 xĢ 27.7419 26.4352 s 8.437128 5.693359 a) Test the claim that males and females have the same mean body mass index. What are the null and alternative hypotheses? What is the test statistic? What is the p-value? State the conclusion for this test. b) Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. Does the confidence interval support the conclusion of the test?
Rabia S.
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 Ī¼ Ī¼1 Ī¼2 n 45 45 x 27.3958 24.7599 s 7.837628 4.750044 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: Ī¼1 = Ī¼2 H1: Ī¼1 > Ī¼2 B. H0: Ī¼1 ā Ī¼2 H1: Ī¼1 < Ī¼2 C. H0: Ī¼1 = Ī¼2 H1: Ī¼1 ā Ī¼2 D. H0: Ī¼1 ā„ Ī¼2 H1: Ī¼1 < Ī¼2 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 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. Fail to reject the null hypothesis. There is not sufficient evidence to warrant the 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 that males and females have the same mean BMI. ---------< Ī¼1 ā Ī¼2 <----------(Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? (1)---------- because the confidence interval contains (2)----------- (1) Yes, No, (2) only positive values. only negative values. zero.
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The test statistic, t, is 2.47 (Round to two decimal places as needed) The P-value is 0.16 (Round to three decimal places as needed) State the conclusion for the test. A. 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. 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. 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. < Ī¼1 - Ī¼2 < (Round to three decimal places as needed) Does the confidence interval support the conclusion of the test?
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