The accounting department at Weston Materials, Inc., a national manufacturer of

Question

The accounting department at Weston Materials, Inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution.
a. Determine the x values for 29 and 34 hours. What percent of the garages take between 32 hours and 34 hours to erect.
b. What percent oaf the garages take between 29 hours and 34 hours to erect?
c. What percent of the garages take 28.7 hours or less to erect?
d. Of the garages, 5 percent take how many hours or less to erect?

Explanation / Answer

Given X~Normal(mean=32, s=2) ------------------------------------------------------------------------------------------ a. Determine the z values for 29 and 34 hours. Z=(X-mean)/s (29-32)/2= -1.5 (34-32)/2=1 ------------------------------------------------------------------------------------------ b. What percent of the garages take between 29 hours and 34 hours to erect? P(29

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