NCAA rules require the circumference of a softball to be 12 ±0.125 inches. A softball manufacturer bidding on an NCAA contractis shown to meet the requirements for mean circumference. Supposethat the NCAA also requires that the standard deviation of thesoftball circumferences not exceed 0.05 inch. A representative fromthe NCAA believes the manufacturer does not meet this requirement.She collects a random sample of 25 softballs from the productionline and finds that s = 0.076 inch. The Anderson-Darling test ofnormality gives a P-value of 0.632. Is there enough evidence tosupport the representative’s belief (i.e., that the standarddeviation of circumferences exceeds 0.05 inch) at the ? = 0.01level of significance?
On a separate sheet of paper, write down the hypotheses(H0 and Ha) to be tested.
Conditions:
The conditions for the ?2 ("chi-square") test forstandard deviations (are / arenot) satisfied for this data.
Rejection Region:
To test the given hypotheses, we will use a (left/ right / two) -tailedtest.
The appropriate critical value(s) for this test is/are_____. (Report your answer exactly as it appears inTable VII. For two-tailed tests, report both critical values in theanswer blank separated by only a single space.)
