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A company has a maximum population variance allowed of 0.04 for its bottle filing machines. A sample of 35 bottles from Machine 1 showed a mean volume of 3.3 ounces and a variance of 0.06. Use a = 0.05 to test whether the population variance specified is being violated. a) Formulate the hypotheses for this problem. b) Show the formula for the test statistic, substitute your values into the formula and compute the test statistic. c) Using either the p-value approach or the critical value approach, test the hypotheses. (You must report the p-value or critical value you found using tables or excel. If using excel, report the value to a minimum of 4 decimal places.) d) What is your conclusion? (Do not only say that you reject, or you do not reject the null hypothesis. Relate your conclusion to the question)

A company has a maximum population variance allowed of 0.04 for its bottle filing machines. A sample of 35 bottles from Machine 1 showed a mean volume of 3.3 ounces and a variance of 0.06. Use a = 0.05 to test whether the population variance specified is being violated. a) Formulate the hypotheses for this problem. b) Show the formula for the test statistic, substitute your values into the formula and compute the test statistic. c) Using either the p-value approach or the critical value approach, test the hypotheses. (You must report the p-value or critical value you found using tables or excel. If using excel, report the value to a minimum of 4 decimal places.) d) What is your conclusion? (Do not only say that you reject, or you do not reject the null hypothesis. Relate your conclusion to the question)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A company has a maximum population variance allowed of 0.04 for its bottle filing machines. A sample of 35 bottles from Machine 1 showed a mean volume of 3.3 ounces and a variance of 0.06. Use a = 0.05 to test whether the population variance specified is being violated. a) Formulate the hypotheses for this problem. b) Show the formula for the test statistic, substitute your values into the formula and compute the test statistic. c) Using either the p-value approach or the critical value approach, test the hypotheses. (You must report the p-value or critical value you found using tables or excel. If using excel, report the value to a minimum of 4 decimal places.) d) What is your conclusion? (Do not only say that you reject, or you do not reject the null hypothesis. Relate your conclusion to the question)
Transcribed Image Text:A company has a maximum population variance allowed of 0.04 for its bottle filing machines. A sample of 35 bottles from Machine 1 showed a mean volume of 3.3 ounces and a variance of 0.06. Use a = 0.05 to test whether the population variance specified is being violated. a) Formulate the hypotheses for this problem. b) Show the formula for the test statistic, substitute your values into the formula and compute the test statistic. c) Using either the p-value approach or the critical value approach, test the hypotheses. (You must report the p-value or critical value you found using tables or excel. If using excel, report the value to a minimum of 4 decimal places.) d) What is your conclusion? (Do not only say that you reject, or you do not reject the null hypothesis. Relate your conclusion to the question)
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