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# A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.28 centimeters in dlameter. The varlance of the bolts should be 0.03 . A random sample of 14 bolts has an average dlameter of $0.29 \mathrm{~cm}$ with a standard deviation of 0.1741 . Can the manufacturer conclude that the bolts vary by more than the required varlance at $\alpha=0.01$ level? Step 1 of 5: State the hypótheses in terms of the standard devlation. Round the standard devlation to four decimal places when necessary. Answer 2 Polnts A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.28 centimeters in diameter. The varlance of the bolts should be 0.03. A random sample of 14 bolts has an average diameter of $0.29 \mathrm{~cm}$ with a standard deviation of 0.1741 . Can the manufacturer conclude that the bolts vary by more than the required varlance at $\alpha=0.01$ level? Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-talled, separate the values with a comma. Round your answer to three decimal places. Answer How to enter your answer (opens in new window) 2 Polnts A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.28 centimeters in diameter. The variance of the bolts should be 0.03. A random sample of 14 bolts has an average diameter of $0.29 \mathrm{~cm}$ with a standard deviation of 0.1741 . Can the manufacturer conclude that the bolts vary by more than the required variance at $\alpha=0.01$ level? Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Answer How to enter your answer (opens in new window) 2 Points A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.28 centimeters in dlameter. The varlance of the bolts should be 0.03 . A random sample of 14 bolts has an average dlameter of $0.29 \mathrm{~cm}$ with a standard deviation of 0.1741 . Can the manufacturer conclude that the bolts vary by more than the required variance at $\alpha=0.01$ level? Step 4 of 5: Make the decision. Answer 2 Polnts Reject Null Hypothesis Fall to Reject Null Hypothesis A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.28 centimeters in dlameter. The varlance of the bolts should be 0.03 . A random sample of 14 bolts has an average diameter of $0.29 \mathrm{~cm}$ with a standard deviation o 0.1741 . Can the manufacturer conclude that the bolts vary by more than the required varlance at $\alpha=0.01$ level? Step 5 of 5 : What is the conclusion? Answer 2 Points There Is sufficlent evidence that shows the bolts vary by more than the required varlance. There is not sufficlent evidence that shows the bolts vary by more than the required varlance.  