In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 25 scores from all of the students who took the test. She sees that the mean score is 103 with a standard deviation of 32.9903. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 29. Is there evidence that the standard deviation of test scores has increased at the =0.005 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 of the test statistic, if the test statistic the values with a comma. Round answer to three decimal places.

Step 3 of 5: Determine the value of the test statistic. Round answer to three decimal places.

Step 4 of 5: make the decision. Is it reject null hypothesis, or fail to reject the null hypothesis.

Step 5 of 5: what is the conclusion?