A population of values has a normal distribution with μ = 180.1 and σ = 72.5. a. Find the probability that a single randomly selected value is between 165.9 and 171.3. Round your answer to four decimal places. P(165.9 < X < 171.3) = 0.0293 00 b. Find the probability that a randomly selected sample of size n = 219 has a mean between 165.9 and 171.3. Round your answer to four decimal places. P(165.9 < M < 171.3) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A population of values has a normal distribution with
μ
= 180.1 and σ = 72.5.
a. Find the probability that a single randomly selected
value is between 165.9 and 171.3. Round your answer
to four decimal places.
P(165.9 < X < 171.3) = 0.0293
00
b. Find the probability that a randomly selected sample
of size n =
219 has a mean between 165.9 and
171.3. Round your answer to four decimal places.
P(165.9 < M < 171.3)
=
Transcribed Image Text:A population of values has a normal distribution with μ = 180.1 and σ = 72.5. a. Find the probability that a single randomly selected value is between 165.9 and 171.3. Round your answer to four decimal places. P(165.9 < X < 171.3) = 0.0293 00 b. Find the probability that a randomly selected sample of size n = 219 has a mean between 165.9 and 171.3. Round your answer to four decimal places. P(165.9 < M < 171.3) =
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