A population of values has a normal distribution with mean of 159.4 and standard deviation of 80.5. You sample 217 values from the population. a) Get the z-score for a sample mean of 144.1. For this problem you use the z score formula z=(¯x−μ)√nσz=(x¯-μ)nσ b) This z-score tells you how many the sample mean of 144.1 is above or below the population mean μμ . c) Find the probability that a sample mean is greater than 144.1. Enter your numerical answers as numbers accurate to at least 4 decimal places.
A population of values has a normal distribution with mean of 159.4 and standard deviation of 80.5. You sample 217 values from the population. a) Get the z-score for a sample mean of 144.1. For this problem you use the z score formula z=(¯x−μ)√nσz=(x¯-μ)nσ b) This z-score tells you how many the sample mean of 144.1 is above or below the population mean μμ . c) Find the probability that a sample mean is greater than 144.1. Enter your numerical answers as numbers accurate to at least 4 decimal places.
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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A population of values has a
You sample 217 values from the population.
a) Get the z-score for a sample mean of 144.1. For this problem you use the z score formula z=(¯x−μ)√nσz=(x¯-μ)nσ
b) This z-score tells you how many the sample mean of 144.1 is above or below the population mean μμ .
c) Find the probability that a sample mean is greater than 144.1.
Enter your numerical answers as numbers accurate to at least 4 decimal places.
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