In a school district, all sixth grade students take the same standardized test. The superintendent of the school district takes a random sample of 26 scores from all of the students who took the test. She sees that the mean score is 184 with a standard deviation of 18.2982. The superintendent wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 17. Is there evidence that the standard deviation of test scores has increased at the =0.01 level? Assume the population is normally distributed.

Step1of5: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 a decision. Is it "reject null hypothesis" or " fail to reject null hypothesis"?

Step 5 of 5: What is the conclusion?