Assume that the population is normally distributed and that the sample has been randomly selected and test the given claim. 4) Heights of men aged 25 to 34 have a standard deviation of 2.9. Use a 0.05 significance level to test the claim that the heights of women aged 25 to 34 have a different standard deviation. The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below. Use the traditional method of testing hypotheses.. 62.13 65.09 64.18 66.72 63.09 61.15 67.50 64.65 63.80 64.21 60.17 68.28 66.49 62.10 65.73 64.72 (a) Set up the null hypothesis and alternative hypothesis and indicate the claim. (b) Calculate the test statistic. Round to three decimal places. (c) Find the critical value(s). Draw a sketch of the distribution curve and indicate the significance level and the critical value(s) on the graph.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume that the population is normally distributed and that the sample has been randomly selected and test the given
claim.
4) Heights of men aged 25 to 34 have a standard deviation of 2.9. Use a 0.05 significance level to test the claim that
the heights of women aged 25 to 34 have a different standard deviation. The heights (in inches) of 16 randomly
selected women aged 25 to 34 are listed below. Use the traditional method of testing hypotheses..
62.13 65.09 64.18 66.72 63.09 61.15 67.50 64.65
63.80 64.21 60.17 68.28 66.49 62.10 65.73 64.72
(a) Set up the null hypothesis and alternative hypothesis and indicate the claim.
(b) Calculate the test statistic. Round to three decimal places.
(c) Find the critical value(s). Draw a sketch of the distribution curve and indicate the significance level and the critical
value(s) on the graph.
(d) Make a decision about the null hypothesis. Be sure to explain how you make the decision.
(e) Draw a conclusion about the original claim.
Transcribed Image Text:Assume that the population is normally distributed and that the sample has been randomly selected and test the given claim. 4) Heights of men aged 25 to 34 have a standard deviation of 2.9. Use a 0.05 significance level to test the claim that the heights of women aged 25 to 34 have a different standard deviation. The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below. Use the traditional method of testing hypotheses.. 62.13 65.09 64.18 66.72 63.09 61.15 67.50 64.65 63.80 64.21 60.17 68.28 66.49 62.10 65.73 64.72 (a) Set up the null hypothesis and alternative hypothesis and indicate the claim. (b) Calculate the test statistic. Round to three decimal places. (c) Find the critical value(s). Draw a sketch of the distribution curve and indicate the significance level and the critical value(s) on the graph. (d) Make a decision about the null hypothesis. Be sure to explain how you make the decision. (e) Draw a conclusion about the original claim.
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