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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 hour?
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∙ 11y ago
Answer by stanbon(52356) (Show Source): You can put this solution on YOUR website!
38. The accounting department at Weston Materials, Inc., a national manufacturer of unattached garagess, 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.
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a. Determine the z values for 29 and 34 hours. What percent of the garages take between 32 hours and 34 hours to erect?
z(29) = (29-32)/2 = -3/2
z(34) = (34-32)/2 = 1
z(32) = 0
P(32 < x < 34) = P(0< z < 1) = 0.34
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b. What percent of the garages take between 29 hours and 34 hours to erect?
P(29 < x < 34) = P(-1.5 < z < 1) = 0.7745
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c. What percent of the garages take 28.7 hours or less to erect?
z(28.7) = (28.7-32)/2 = -3.3
P(0 < x < 28.7) = P (-10 < z < -3.3) = 0.00048348...
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d. Of the garages, 5 percent take how many hours or more to erect?
find the z-value corresponding to an area of 95% to the left and only
5% to the right under the curve.
Use your z-chart or InvNor(0.95) = 1.645 on your calculator.
Now find the x-value corresponding to that z-value.
1.645 = (x-32)/2
x-32 = 2*1.645
x= 35.29 hours
5% of the houses require 35.29 or more hours to erect.
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