Suppose two food preservatives are extensively tested and determined safe for us
ID: 3246979 • Letter: S
Question
Suppose two food 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 16 cuts of fresh meat are treated with preservative A (population 1) and another 12 cuts of meat are treated with preservative B (population 2). The number of hours until spoilage begins is recorded for each of the 28 cuts of meat. The results are summarized below.
Preservative A Preservative B
Sample means 104.50 107.30
Sample standard deviations 13.70 11.40
Construct a 95% confidence interval estimate of the difference in the mean number of hours until spoilage begins for the two preservatives. Use only the appropriate formula and/or statistical table in your textbook to answer this question.
Answer: ________ (click to select) _________ hours (Negative amounts should be indicated by a minus sign. Report your lower and upper confidence limits to 2 decimal places using conventional rounding rules)
(Click to select) (u1 H2) (s1 - s2) n1 -n (ud) (p1 p2) (x-bar1 - x-bar2) (x-bar1 x-bar2) (o1 - o2)Explanation / Answer
difference in mean
= 104.5 - 107.3
= -2.8
standard deviation
= sqrt(13.7^2/16 + 11.4^2/12)
= 4.7498
margin of error = 1.96 * 4.7498 = 9.3096
lower bound = -2.8 - 9.3096 = -12.11
upper bound = -2.8 + 9.3096 = 6.51
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.