Nike's annual report says that the average American buys 6.5 pairs of sports shoes per year. Suppose a sample of 61 customers is surveyed and the population standard deviation of sports shoes purchased per year is 2.1. a. What is the standard error of the mean in this experiment? b. What is the probability that the sample mean is between 6 and 7 pairs of sports shoes? c. What is the probability that the difference between the sample mean and the population mean is less than 0.35 pair? d. What is the likelihood the sample mean is greater than 7 pairs?
Nike's annual report says that the average American buys 6.5 pairs of sports shoes per year. Suppose a sample of 61 customers is surveyed and the population standard deviation of sports shoes purchased per year is 2.1. a. What is the standard error of the mean in this experiment? b. What is the probability that the sample mean is between 6 and 7 pairs of sports shoes? c. What is the probability that the difference between the sample mean and the population mean is less than 0.35 pair? d. What is the likelihood the sample mean is greater than 7 pairs?
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
Nike's annual report says that the average American buys 6.5 pairs of
sports shoes per year. Suppose a sample of 61 customers is surveyed and
the population standard deviation of sports shoes purchased per year is 2.1.
a. What is the standard error of the mean in this experiment?
b. What is the probability that the sample mean is between 6
and 7 pairs of sports shoes?
c. What is the probability that the difference between the
sample mean and the population mean is less than 0.35 pair?
d. What is the likelihood the sample mean is greater than 7
pairs?
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