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.
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 |
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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