A bot manufacture is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.15 centimeter in diameter. The variance of the bolts should be 0.025. A random sample of 23 bolts has an average diameter of 0.14cm with a standard deviation of 0.2627. Can the manufacturer conclude that the bolts vary by more than the required variance at a = 0.01 level?

1. state the null and alternative hypotheses. (round the standard deviation to four decimal places when necessary.

Ho:__________ Ha:_____________

2. Determine the critical value 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 (round 3 decimal places)

4. Make the decision to reject or fail the null hypothesis

choose one

5. what is the conclution?

choose one

There is sufficient evidence or There is not sufficient evidence