Question

A standardized test is given to a sixth grade class and a ninth grade class. The superintendent believes that the variance in performance from the sixth grade class is different than the variance in performance from the ninth grade class. The sample variance of a sample of 16 test scores from the sixth grade class is 23.64. The sample variance of a sample of 10 test scores from the ninth grade class is 14.9. Test the claim using a 0.05 level of significance. Let σ21 represent the population variance for sixth grade class.

Step 1 of 5:

State the null and alternative hypotheses for the test.

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(s) to four decimal places.

Step 3 of 5:

Compute the value of the test statistic. Round your answer to four decimal places.

Step 4 of 5:

Make a decision. Reject Null Hypothesis or Fail to Reject Null Hypothesis

Step 5 of 5:

State the test's conclusion. Does the evidence support the claim? Yes or No?

Answer 1