A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.18 centimeters in diameter. The variance of the bolts should be 0.02. A random sample of 22 bolts has an average diameter of 0.19cm with a standard deviation of 0.2428. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.005level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the decision. Step 5 of 5: What is the conclusion?
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.18 centimeters in diameter. The variance of the bolts should be 0.02. A random sample of 22 bolts has an average diameter of 0.19cm with a standard deviation of 0.2428. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.005level?
State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary.
Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.
Determine the value of the test statistic. Round your answer to three decimal places.
Make the decision.
What is the conclusion?
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