A random sample of size 30 is to be selected from a population that has a mean ? = 54 and a standard deviation ? of 11. (e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.) (f) What is the probability that the sample mean will be within 4 units of the mean? (Give your answer correct to four decimal places.)
A random sample of size 30 is to be selected from a population that has a mean ? = 54 and a standard deviation ? of 11. (e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.) (f) What is the probability that the sample mean will be within 4 units of the mean? (Give your answer correct to four decimal places.)
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...
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A random
(e) What is the
(f) What is the probability that the sample mean will be within 4 units of the mean? (Give your answer correct to four decimal places.)
Expert Solution
Step 1
Let us assume X=the variable
Given that X follows a normal distribution with mean=54 and standard deviation = 11.
n=sample size= 30
So the sample mean follows a normal distribution with mean=54 and standard deviation =
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