A population of values has a normal distribution with u = 141.4 and o = 86.4. a. Find the probability that a single randomly selected value is between 150 and 159.7. Round your answer to four decimal places. P(150 < X < 159.7) = 0.0433 X b. Find the probability that a randomly selected sample of size n = 200 has a mean between 150 and 159.7. Round your answer to four decimal places. P(150 < M < 159.7) = 0.0779 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 3CYU
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A population of values has a normal distribution with u
X
= 141.4 and o
=
a. Find the probability that a single randomly selected value is between 150 and 159.7. Round your
answer to four decimal places.
P(150 < X < 159.7) = 0.0433
X
86.4.
b. Find the probability that a randomly selected sample of size n = 200 has a mean between 150 and
159.7. Round your answer to four decimal places.
P(150 < M < 159.7) = 0.0779
Transcribed Image Text:A population of values has a normal distribution with u X = 141.4 and o = a. Find the probability that a single randomly selected value is between 150 and 159.7. Round your answer to four decimal places. P(150 < X < 159.7) = 0.0433 X 86.4. b. Find the probability that a randomly selected sample of size n = 200 has a mean between 150 and 159.7. Round your answer to four decimal places. P(150 < M < 159.7) = 0.0779
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