Abolt manufacturer wants to investigate the machine that produces bolts with a diameter of 0.28 centimeters. if the variance of the diameters is equal to 0.025, then the machine is working as expected. a random sample of 11 bolts has a standard deviation of 0.3379. does the manufacturer have evidence at the α=0.005 level that the variance of the bolt diameters is more than required? assume the population is normally distributed.
step 1 of 5: state the null and alternative hypotheses. round 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?