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A regulation golf ball should weigh 45 grams. A company produces golf balls for the PGA. To help ensure a high degree of accuracy, a random sample of 23 golf balls is drawn from the production line every 30 minutes and each golf ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 45 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 23 golf balls was found to be 43.66 grams. Use the p-value method to test the hypothesis that the mean weight of a golf ball produced by this company is different than 45 grams, using a significance level of 0.5%. Assume that the distribution of weights of all golf balls produced by this company is known to be approximately normally distributed with a standard deviation of 5.4 grams. State the null and alternative hypothesis for this test. Ho: ? H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed Oleft-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used. The standard normal (z) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places.

A regulation golf ball should weigh 45 grams. A company produces golf balls for the PGA. To help ensure a high degree of accuracy, a random sample of 23 golf balls is drawn from the production line every 30 minutes and each golf ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 45 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 23 golf balls was found to be 43.66 grams. Use the p-value method to test the hypothesis that the mean weight of a golf ball produced by this company is different than 45 grams, using a significance level of 0.5%. Assume that the distribution of weights of all golf balls produced by this company is known to be approximately normally distributed with a standard deviation of 5.4 grams. State the null and alternative hypothesis for this test. Ho: ? H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed Oleft-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used. The standard normal (z) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places.

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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Determine the p-value for the hypothesis test. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean golf ball weight produced by this company is 45 grams and thus we conclude that the production line is operating correctly and does not need inspection. The sample data provide sufficient evidence to reject the alternative hypothesis that mean golf ball weight of golf balls produced by this company is significantly different than 45 ounces and thus we conclude that the production line is operating correctly and does not need inspection. O The sample data provide sufficient evidence to reject the null hypothesis that the mean golf ball weight produced by this company is 45 grams and thus we conclude that the production line needs to be shut down and inspected. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that mean golf ball weight of golf balls produced by this company is significantly different than 45 ounces and thus we conclude that the production line needs to be shut down and inspected.
Transcribed Image Text:Determine the p-value for the hypothesis test. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean golf ball weight produced by this company is 45 grams and thus we conclude that the production line is operating correctly and does not need inspection. The sample data provide sufficient evidence to reject the alternative hypothesis that mean golf ball weight of golf balls produced by this company is significantly different than 45 ounces and thus we conclude that the production line is operating correctly and does not need inspection. O The sample data provide sufficient evidence to reject the null hypothesis that the mean golf ball weight produced by this company is 45 grams and thus we conclude that the production line needs to be shut down and inspected. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that mean golf ball weight of golf balls produced by this company is significantly different than 45 ounces and thus we conclude that the production line needs to be shut down and inspected.
A regulation golf ball should weigh 45 grams. A company produces golf balls for the PGA. To help ensure a high degree of accuracy, a random sample of 23 golf balls is drawn from the production line every 30 minutes and each golf ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 45 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 23 golf balls was found to be 43.66 grams. Use the p-value method to test the hypothesis that the mean weight of a golf ball produced by this company is different than 45 grams, using a significance level of 0.5%. Assume that the distribution of weights of all golf balls produced by this company is known to be approximately normally distributed with a standard deviation of 5.4 grams. State the null and alternative hypothesis for this test. Ho: ? H₁: ? V Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed Oleft-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used. The standard normal (z) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places.
Transcribed Image Text:A regulation golf ball should weigh 45 grams. A company produces golf balls for the PGA. To help ensure a high degree of accuracy, a random sample of 23 golf balls is drawn from the production line every 30 minutes and each golf ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 45 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 23 golf balls was found to be 43.66 grams. Use the p-value method to test the hypothesis that the mean weight of a golf ball produced by this company is different than 45 grams, using a significance level of 0.5%. Assume that the distribution of weights of all golf balls produced by this company is known to be approximately normally distributed with a standard deviation of 5.4 grams. State the null and alternative hypothesis for this test. Ho: ? H₁: ? V Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed Oleft-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used. The standard normal (z) distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places.
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