Seven randomly selected plants that bottle the same beverage implemented a time management
program in hopes of improving productivity. The average time, in minutes, that it took the
companies to produce the same quantity of bottles before and after the program are listed below.
Assume the two population distributions are normal. Construct a 90% confidence interval for ?d.
Assume that the paired data came from a population that is normally distributed.
plant- 1 2 3 4 5 6 7
before- 75 89 31 90 120 50 40
after- 70 80 30 85 100 49 42
Solution
So 90% CI is (0.21, 10.93)
70.714mean before 65.143mean after
5.571mean difference (before - after) 7.300std. dev.
2.759std. error
7n
6df.
Seven times the first (smaller) of two consecutive odd integers is e.pdf
1. Seven times the first (smaller) of two consecutive odd integers is equal to five times the second
(larger) integer. Find each integers.
Solution
we have, let the integers be (2n+1) and ( 2n+3) now, 7(2n+1) = 5 ( 2n+3) 4n = 8 n
= 2 the numbers are : 2n + 1= 5 2n+3 = 7
