Statistics sec 02 Fall 2017 MySta Quiz: Chapter 6 Quiz Submit Quz This Question:

Question

Statistics sec 02 Fall 2017 MySta Quiz: Chapter 6 Quiz Submit Quz This Question: 1 pt This Quiz: 9 pts Quizze According to data for a population, 3-year-old boys have a mean height of 38 inches and a stlandard deviation of 2 inches. Assume the distribution is approximatoly Normal. Complete parts a and b a. Find the percentile measure for a height of 35 inches for a 3-year-old boy. At eight of 35 inches corresponds to the l percentile Stat (Round down to the nearest percentile as needed) Chapte b. this 3-year-old boy grows up to be a man with a height at the same percentile, what will his hoight be? Use a population mean of 70 inches and a population Tools Multime (Round to the nearest tenth as needed ) standard deviation of 3 inches His height will be inches Enter your answer in each of the answer boxes

Explanation / Answer

mean 38
std.dev. = 2

a)
P(X < 35)
= P(z < (35 - 38)/2))
= P(z < -1.5)
= 0.0668

7 percentile

b)
z-value = -1.5

xbar = mean + z*sigma
xbar = 70 -1.5*3 = 65.5

His height will bbe 65.5 inches

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