. You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of ​$127.00. Assume the population standard deviation is $19.30. Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval is

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A.

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of ​$127.00. Assume the population standard deviation is $19.30. Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval is
 
B.
A study of lobster trap placement used a 95​% confidence interval to estimate the mean trap spacing​ (in meters) for the population of red spiny lobster fishermen fishing in the west coast. How many teams of fisherman would need to be sampled in order to reduce the width of the confidence interval to 6 ​meters? Assume prior knowledge indicates that the trap spacing readings for the population of red spiny lobster taken during a day are approximately normally distributed with a standard deviation of 12.2 meters. The experiment must sample how many teams of fisherman in order to reduce the width of the confidence interval to 6 meters.
 
C. 
Use the confidence interval to find the estimated margin of error. Then find the sample mean. A store manager reports a confidence interval of (42.7,77.5) when estimating the mean price​ (in dollars) for the population of textbooks. what is the margin of error and the sample mean.
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