A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. the bolts should be 0.17 centimeters in diameter. The variance of the bolts should be 0.02. A random sample of 22 bolts has an average diameter of 0.18cm with a standard deviation of 0.2356. Can the manufacturer conclude that the bolts vary by more than the required variance at a =0.01 level?

1. state the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places.

Ho:

Ha:

2. determine the critical values of the test statistic. if the test is two-tailed separate the values with a comma-round your answer to 3 decimal places.

3. determine the value of the test statistic. 3 decimal

4. make the decision reject or fail to reject

5. what is the conclusion sufficient or not sufficient