a. At 0.05 level of significance test if the population variances differ for preservatives A and B.  b. Use the result in (a) to test if the population means differ for preservative A and B at 0.05 level of significance.

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The use of preservatives by food processors has become a controversial issue. Suppose 2 preservatives are extensively tested and determined safe for use in meats. A processor wants to compare the preservatives for their effects on retarding spoilage. Suppose 15 cuts of fresh meat are treated with preservative A and 15 are treated with preservative B and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. The results are summarized in the table below. 

Preservative Type Sample Size Sample Mean Sample Standard Deviation
A 15 106.4 hours 10.3 hours
B 15 96.54 hours 13.4 hours
 

a. At 0.05 level of significance test if the population variances differ for preservatives A and B. 

b. Use the result in (a) to test if the population means differ for preservative A and B at 0.05 level of significance. 

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