If a sample of n = 16 was chosen from this population, what is the probability that the sample mean will be greater than 50? f. If a sample of n = 100 was selected from the population. what is the probability that the sample mean will be within 5 points of the population mean? That is, what is p(35< X < 45)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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For a normal population with µ = 40 and σ = 15, 

p (X > 45) = 0.3694

p (X<30) = 0.2525

p (32 < X 46) = 0.3585

d. What score (x) would cut off the 95th percentile?

e. If a sample of n = 16 was chosen from this population, what is the probability that the sample mean will be greater than 50?

f. If a sample of n = 100 was selected from the population. what is the probability that the sample mean will be within 5 points of the population mean? That is, what is p(35< X < 45)? 

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