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Question 7 Not yet answered Points out of 4.00 Flag question Assuming that the heights of college women are nomally distributed with mean 62 inches and standard deviation 3,5 inches, what percentage of women are taller than 55 inches? Select one: a. 84.1% b. 99.9% O d. 50% O e. 97.7% Previous page Next page O Type here to search Prtson ind 6
Question8 Not yet answered Points out of 4,00 lag question Assuming that the heights of college women are normally distributed with mean 64 inches and standard deviation 1.5 inches, what percentage of women are between 65.5 inches and 68.5 inches? Select one: O a. 13.6% O b. 97.6% О С. 15.7% O d. 34.1% Type hereto search 0 272019
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Answer #1

7

mean (mu) = 62
standard deviation (sd) = 3.5
X = 55

P(X>55) = P{ (X-mu)/sd > {(55-62)/3.5} = P(z > -2) = 0.9772 or 97.7%

-3 -2 -1 Specify Parameters: Mean 0 SD 1 Above O Below 1.96 O Between -1.96 Outside 1.96 and 1.96 and 1.96 Results Area (probability) 0.9772

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