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TABLE 10-3. 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. Referring to Table 10-3, what assumptions are necessary for a comparison of the population variances to be valid?
Preservative A
X A = 106.4 hours
S A = 10.3 hours
Preservative B
X B = 96.54 hours
S B = 13.4 hours
Answer choices are:
A. Both sampled populations are normally distributed.
B. Both samples are random and independent.
C. Neither (a) nor (b) is necessary.
D. Both (a) and (b) are necessary.
B!
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