1. be less than 30? 2. be greater than 2 below the population mean? 3. be less than 5 above the population mean? 4. be within 0.5 of the population mean?

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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6. Suppose that a random sample of size 64 is to be
selected from a population with mean 30 and
standard deviation 7. What is the approximate
probability that the sample mean will...
1. be less than 30?
2. be greater than 2 below the population
mean?
3. be less than 5 above the population mean?
4. be within 0.5 of the population mean?
5. will differ from the population mean by
more than 0.6?
6. be either less than 3 below or greater than 4
above the population mean?
7. What is the approximate value of the
sample mean if 60% of all random samples
of size 64 is less than the sample mean?
8. What is the approximate value of the
sample mean if 60% of all random samples
of size 64 is greater than the sample mean?
9. What is the approximate value of the
sample mean if 25% of all random samples
of size 64 is greater than the sample mean?
10. What is the approximate value of the
sample mean if 25% of all random samples
of size 64 is less than the sample mean?
Transcribed Image Text:6. Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 7. What is the approximate probability that the sample mean will... 1. be less than 30? 2. be greater than 2 below the population mean? 3. be less than 5 above the population mean? 4. be within 0.5 of the population mean? 5. will differ from the population mean by more than 0.6? 6. be either less than 3 below or greater than 4 above the population mean? 7. What is the approximate value of the sample mean if 60% of all random samples of size 64 is less than the sample mean? 8. What is the approximate value of the sample mean if 60% of all random samples of size 64 is greater than the sample mean? 9. What is the approximate value of the sample mean if 25% of all random samples of size 64 is greater than the sample mean? 10. What is the approximate value of the sample mean if 25% of all random samples of size 64 is less than the sample mean?
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