Question

be clear please

4. The overhead reach distances of adult males are normally distributed with u = 82.7 inches and o 3.4 in. a. If 36 adult males are randomly selected, find the probability the group has a mean overhead reach less than 83.5 inches? b. If you are designing a work station and your goal is for at least 99% of males to be able to reach assembly parts, what is the maximum height those parts may be located? 5. The first 64 NFL games of the season took an average of 2.30 hours to complete with a standard deviation of 41 hours. Construct a 95% confidence interval for the average length of all NFL games,

Answer 1

Ans 4) M = 82.7, 0-3.4 reach a) n = 36 Let x - mean over head & XNN 182.7, 3.42) 83 i-82.7 (< 0.5) 34/ Olza 1.412) = 0.92073 (from Stonda normal table) P=99... - 0.99 P( x²x) = 0.99 =) of (Xex) = 1-0.99 -> Plze 2-32.) - 0,01 from standard nalonal table, p/25 -2.325) 20.01 = x-82.7 = -2.325 = x= 74.795 Therefore movermum height is Tx = 76.795 5 = 64, x=2.30 S=0.41 95 do Confidence os sehal = x + zc (316) = 2.307 1.96/0.4 -2.370 10045 the 951. C.8 79 from 12.2 to 2.4 064