Use the Normal Probability Distribution to make decision about the population (f
ID: 3337470 • Letter: U
Question
Use the Normal Probability Distribution to make decision about the population (female vs male division measurement). I. The female division Female Data in inches 66.4 68.1 66.7 67.9 63.1 67.8 66.1 68.9 66.1 69.2 64.9 67.6 57.6 65.1 66.7 67.8 66.8 63.6 67.5 60.2 69.4 68.4 62.2 67.2 64.7 66.3 64.2 62.2 64.3 67.2 63.2 58.1 Find the sample mean and standard deviation (rounded to tenths) 2) What percent of female adults are taller than 6 feet? 3) What percent of female adults are taller than 5 feet? 4) What percent of female adult heights are between 60 inches and 72 inches? 1)Explanation / Answer
Solution:-
1) => Mean height of an adult female is 65.5 inches.
=> Standard deviation of an adult female is 3 inches.
2) 6 feets = 72 inches
P(X > 72) = P(Z < (72-65.5)/3)
= 1 - P(Z < 2.17)
= 1 - 0.985
= 0.015
3) 5 feets = 60 inches
P(x > 60) = P(Z > (60-65)/3)
= P(Z > -1.83)
= P(Z < 1.83)
= 0.9664
4) P(60 < X < 72) = P((60-65.5)/3 < Z < (72-65.5)/3)
= P(-1.83 < Z < 2.17)
= 0.9850 - 0.0336
= 0.9514
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