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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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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