Male BMI Female BMI H2 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. 48 48 28.4869 S 7.291016 26.3823 5.472031 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. Hg: H1 H2 H: H P2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
icon
Related questions
Topic Video
Question

Please help solve

Male BMI Female BMI
H2
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.
48
28.4869
s 7.291016
48
26.3823
n
5.472031
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
O 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.
O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
O C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
O D. 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. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.
O> Z1 - 1 >O
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion of the test?
because the confidence interval contains
Transcribed Image Text:Male BMI Female BMI H2 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. 48 28.4869 s 7.291016 48 26.3823 n 5.472031 The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O 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. O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O C. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O D. 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. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. O> Z1 - 1 >O (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? because the confidence interval contains
Male BMI Female BMI
H2
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
48
28.4869
S 7.291016
48
26.3823
5.472031
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.
n
a. Test the claim that males and females have the same mean body mass index (BMI).
What are the null and alternative hypotheses?
O B. Ho: H1 = H2
O A. Ho: H1 H2
H1: H1 < H2
OC. Ho: H1 2 H2
O D. Ho: H1 = H2
H1: 41 > H2
H: 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.)
Transcribed Image Text:Male BMI Female BMI H2 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 48 28.4869 S 7.291016 48 26.3823 5.472031 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. n a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O B. Ho: H1 = H2 O A. Ho: H1 H2 H1: H1 < H2 OC. Ho: H1 2 H2 O D. Ho: H1 = H2 H1: 41 > H2 H: 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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill