mathxl.com Quizzes & Tests MTH-110 MW Fall 2017 est: Test 3 Midterm This Questio

Question

mathxl.com Quizzes & Tests MTH-110 MW Fall 2017 est: Test 3 Midterm This Question: 1 pt 30of30 (29 complete) Assume that women's heights are normally distributed with a mean given by -63.5 in, and a standard deviaton given by a-16 (a) lf 1 woman is randomly selected, find the probability that her height is less than 64 in. (b) lt 38 women are randomly selected, find the probability that they have a mean height less than 64 in. (a) The probability is approximately Rouns to four decimal places s n) ) The probability is approximately (Round to four decimal places as needed) Enter your answer ir 4 ab

Explanation / Answer

mean = 63.3
std.dev = 1.6

a)
P(X < 64)
= P(z < (64 - 63.3)/1.6)
= P(z < 0.4375)
= 0.3309

b)
P(X < 64)
= P(z < (64 - 63.3)/(1.6/sqrt(38)))
= P(z < 2.6969)
= 0.0035

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