K A person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and females. 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. Let population 1 be females. Complete parts (a) through (c) below. Click the icon to view the table of statistics. D. Ho: H1 H2 H₁: H1 H2 Statistics Female BMI: n = 70 x=29.35 S=7.18 Male BMI: n=82 x=28.45 S=5.53 The test statistic 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. the null hypothesis. There Print Done sufficient evidence to warrant rejection of the claim that females and males have the same mean BMI. b. Construct a confidence interval appropriate for testing the claim in part (a). The % confidence interval estimate is ☐

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
Question
K
A person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and
females. 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. Let population 1 be females. Complete parts (a) through (c) below.
Click the icon to view the table of statistics.
D. Ho: H1 H2
H₁: H1 H2
Statistics
Female BMI:
n = 70
x=29.35
S=7.18
Male BMI:
n=82
x=28.45
S=5.53
The test statistic 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.
the null hypothesis. There
Print
Done
sufficient evidence to warrant rejection of the claim that females and males have the same mean BMI.
b. Construct a confidence interval appropriate for testing the claim in part (a).
The % confidence interval estimate is ☐ <H₁ - H2<
(Round to two decimal places as needed.)
c. Do females and males appear to have the same mean BMI?
Since
contained within the confidence interval, there
(Type an integer or a decimal. Do not round.)
to be evidence that females and males do not have the same mean BMI.
X
Time Remaining: 01:45:49
Transcribed Image Text:K A person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and females. 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. Let population 1 be females. Complete parts (a) through (c) below. Click the icon to view the table of statistics. D. Ho: H1 H2 H₁: H1 H2 Statistics Female BMI: n = 70 x=29.35 S=7.18 Male BMI: n=82 x=28.45 S=5.53 The test statistic 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. the null hypothesis. There Print Done sufficient evidence to warrant rejection of the claim that females and males have the same mean BMI. b. Construct a confidence interval appropriate for testing the claim in part (a). The % confidence interval estimate is ☐ <H₁ - H2< (Round to two decimal places as needed.) c. Do females and males appear to have the same mean BMI? Since contained within the confidence interval, there (Type an integer or a decimal. Do not round.) to be evidence that females and males do not have the same mean BMI. X Time Remaining: 01:45:49
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