Example 10.18 A random sample of n = 25 was selected from a normally distributed population. The population mean is 106 and standard deviation is 12. (a) Find the standard error of the sampling distribution. (b) What is the probability that the sample mean is greater than 100? (c) What is the probability that the sample mean will be within +4 from population mean?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Example 10.18 A random sample of n = 25 was selected from a normally distributed population. The
population mean is 106 and standard deviation is 12.
(a) Find the standard error of the sampling distribution.
(b) What is the probability that the sample mean x is greater than 100?
(c) What is the probability that the sample mean x will be within ±4 from population mean?
Transcribed Image Text:Example 10.18 A random sample of n = 25 was selected from a normally distributed population. The population mean is 106 and standard deviation is 12. (a) Find the standard error of the sampling distribution. (b) What is the probability that the sample mean x is greater than 100? (c) What is the probability that the sample mean x will be within ±4 from population mean?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON