QUESTION 8 The trend of thinner Miss America winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are the body mass indexes (BMI) for Miss America winners from two different time periods. Use a 0.05 significance level to test the claim that recent winners have a lower mean BMI than the population 1 consist of the BMI of recent winners winners from the 1920s and 1930s. Let and population 2 consist of the BMI of winners from the 20s and 30s. 19.5 20.3 19.6 20.2 17.8 17.9 19.118.8 17.6 16.8 BMI (from recent winners) BMI (winners from 1920s land 1930s) 20.421.922.122.320.3 18.8 18.9 19.4 18.4 19.1 (a) Identify the null and alternative hypothesis in symbolic form. Choose from the following symbols to fill in the blanks: =, #,<,S,>,or 2' Ho: H1- H2 H: H1. H2 (b) The value of the test statistic is Round decimal to two places. (c) The is P-Value Round decimal to three places. (d) State and interpret the final conclusion in the context of this problem. (e) Construct an appropriate confidence interval for the difference between the mean BMI of recent winners and the mean of BMI winners from the 1920s and 1930s. Round decimal to four places. i. What level of confidence is appropriate for constructing this confidence interval? C.L. = ii. The confidence interval is from

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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QUESTION 8
The trend of thinner Miss America winners has generated charges that the contest encourages unhealthy diet habits among young women.
Listed below are the body mass indexes (BMI) for Miss America winners from two different time periods.
Use a 0.05 significance level to test the claim that recent winners have a lower mean BMI than
the population 1 consist of the BMI of recent winners
winners from the 1920s and 1930s. Let
and population 2 consist of the BMI of winners from the 20s and 30s.
19.5 20.3 19.6 20.2 17.8 17.9 19.1 18.8 17.6 16.8
BMI
(from
recent
winners)
BMI
(winners
from
1920s
and
1930s)
20.4 21.9 22.122.320.3 18.8 18.9 19.4 18.4 19.1
(a) Identify the null and alternative hypothesis in symbolic form. Choose from the following symbols to fill in the blanks:
=,#,<,S,>, or 2
Ho: H1 H2
H1: 4-
H2
(b) The value of the test statistic is
Round decimal to two places.
(c) The
is
P-Value
Round decimal to three places.
(d) State and interpret the final conclusion in the context of this problem.
(e) Construct an appropriate confidence interval for the difference between the mean BMI of recent winners and the mean of BMI winners from
the 1920s and 1930s. Round decimal to four places.
i. What level of confidence is appropriate for constructing this confidence interval?
C.L. =
%3D
ii. The confidence interval is from
to
Round decimal to thr
Transcribed Image Text:QUESTION 8 The trend of thinner Miss America winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are the body mass indexes (BMI) for Miss America winners from two different time periods. Use a 0.05 significance level to test the claim that recent winners have a lower mean BMI than the population 1 consist of the BMI of recent winners winners from the 1920s and 1930s. Let and population 2 consist of the BMI of winners from the 20s and 30s. 19.5 20.3 19.6 20.2 17.8 17.9 19.1 18.8 17.6 16.8 BMI (from recent winners) BMI (winners from 1920s and 1930s) 20.4 21.9 22.122.320.3 18.8 18.9 19.4 18.4 19.1 (a) Identify the null and alternative hypothesis in symbolic form. Choose from the following symbols to fill in the blanks: =,#,<,S,>, or 2 Ho: H1 H2 H1: 4- H2 (b) The value of the test statistic is Round decimal to two places. (c) The is P-Value Round decimal to three places. (d) State and interpret the final conclusion in the context of this problem. (e) Construct an appropriate confidence interval for the difference between the mean BMI of recent winners and the mean of BMI winners from the 1920s and 1930s. Round decimal to four places. i. What level of confidence is appropriate for constructing this confidence interval? C.L. = %3D ii. The confidence interval is from to Round decimal to thr
(a) Identify the null and alternative hypothesis in symbolic form. Choose from the following symbols to fill in the blanks:
=, #,<,S,>, or >'
Ho: H1–
(b) The value of the test statistic is
Round decimal to two places.
(c) The
P - Value
is
Round decimal to three places.
(d) State and interpret the final conclusion in the context of this problem.
(e) Construct an appropriate confidence interval for the difference between the mean BMI of recent winners and the mean of BMI winners from
the 1920s and 1930s. Round decimal to four places.
i. What level of confidence is appropriate for constructing this confidence interval?
C.L. =
%3D
ii. The confidence interval is from
to
Round decimal to three places.
(f)
Does the confidence interval support the claim that recent winners have a lower mean BMI than winners from the 1920s End 1930s?
Explain why or why not.
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
BIUS
Paragraph
Arial
14px
A
...
<>
II
Transcribed Image Text:(a) Identify the null and alternative hypothesis in symbolic form. Choose from the following symbols to fill in the blanks: =, #,<,S,>, or >' Ho: H1– (b) The value of the test statistic is Round decimal to two places. (c) The P - Value is Round decimal to three places. (d) State and interpret the final conclusion in the context of this problem. (e) Construct an appropriate confidence interval for the difference between the mean BMI of recent winners and the mean of BMI winners from the 1920s and 1930s. Round decimal to four places. i. What level of confidence is appropriate for constructing this confidence interval? C.L. = %3D ii. The confidence interval is from to Round decimal to three places. (f) Does the confidence interval support the claim that recent winners have a lower mean BMI than winners from the 1920s End 1930s? Explain why or why not. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A ... <> II
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