Question: 41
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
The use of preservatives by food processors has become a controversial
issue. Suppose two 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 I and 15 are treated with preservative II, 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 I
XI=106.4 hours
Preservative II
X
SI 10.3 hours
S
96.54 hours
13.4 hours
State the null and alternative hypotheses for testing if the population
variances differ for preservatives I and II.
(1) Hoo-o≥ 0 versus H₁: 0-0 <0
(ii) Ho: 0-0 versus H₁: 0-0 > 0
(iii) Hoo-σ = 0 versus H₁: 0-0 0
(iv) Hoo-00 versus H₁: 07-σ = 0
