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?
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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05043c29-3d5f-4328-adf1-091651cc3623%2F70d18697-ecae-4ca8-b2ae-1ef307315891%2Fbs9i6ko_processed.jpeg&w=3840&q=75)
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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