A food processor wants to compare two preservatives for their effects on retarding spoilage. Suppose 16 cuts of fresh meat are treated with preservative A and 16 are treated with preservative B, and the number of hours until spoilage begins is recorded for each of the 32 cuts of meat. The results are summarized in the table below: Calculate the value of the test statistic for testing the equality of the population variances, and write the proper conclusion for = 0.05.
Test statistic =
Critical Value(s) =
Conclusion:
Interpretation: ______________
Develop the 95% confidence interval estimate of the ratio of the two population variances.

Question

A food processor wants to compare two preservatives for their effects on retarding spoilage. Suppose 16 cuts of fresh meat are treated with preservative A and 16 are treated with preservative B, and the number of hours until spoilage begins is recorded for each of the 32 cuts of meat. The results are summarized in the table below:

Calculate the value of the test statistic for testing the equality of the population variances, and write the proper conclusion for

= 0.05.
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
Interpretation: __________________________________________
Develop the 95% confidence interval estimate of the ratio of the two population variances.
______________

Michelle Robaina · Accepted Answer

Final Answer : 0.596; 2.86; Do not reject H 0 ; The population variances for preservatives A and B are equal; (0.208, 1.705)

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