A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be0.16centimeters in diameter. The variance of the bolts should be0.025. A random sample of23 bolts has an average diameter of0.17cmwith a standard deviation of0.2498. Can the manufacturer conclude that the bolts vary by more than the required variance at =0.01level?

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?