Monthly cell phone bills for residents of a city have mean €63 and standard deviation €11. Simple random samples of 100 are drawn and the mean is determined for each sample. a. What is the sample size, n? b. Find the standard deviation of the sampling distribution of sample means. c. What is the probability that the mean of a sample is greater than €74?

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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Question 3
Monthly cell phone bills for residents of a city have mean €63 and standard deviation €11.
Simple random samples of 100 are drawn and the mean is determined for each sample.
a. What is the sample size, n?
b. Find the standard deviation of the sampling distribution of sample means.
c. What is the probability that the mean of a sample is greater than €74?
d. What is the probability that the mean of a sample is less than €63?
e. What is the probability that the mean of a sample is between €52 and €74?
Transcribed Image Text:Question 3 Monthly cell phone bills for residents of a city have mean €63 and standard deviation €11. Simple random samples of 100 are drawn and the mean is determined for each sample. a. What is the sample size, n? b. Find the standard deviation of the sampling distribution of sample means. c. What is the probability that the mean of a sample is greater than €74? d. What is the probability that the mean of a sample is less than €63? e. What is the probability that the mean of a sample is between €52 and €74?
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