How large a sample is needed to be 90% confident that the sample mean interest rate for a 30 year fixed mortgage is within .02% of the true mean

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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How large a sample is needed to be 90% confident that the sample mean interest rate for a 30 year fixed mortgage is within .02% of the true mean

3. Mariana would like to purchase a home and is interested in finding out the average interest rate
for a 30-year fixed mortgage. Bankrate.com states that the population standard deviation for a 30-
year fixed mortgage interest rate is .13%. Mariana does some research and collects a simple
random sample of 24 interest rates for a 30-year fixed mortgage and finds that the average interest
rate is 2.99%. Assume that the data is normally distributed.
Transcribed Image Text:3. Mariana would like to purchase a home and is interested in finding out the average interest rate for a 30-year fixed mortgage. Bankrate.com states that the population standard deviation for a 30- year fixed mortgage interest rate is .13%. Mariana does some research and collects a simple random sample of 24 interest rates for a 30-year fixed mortgage and finds that the average interest rate is 2.99%. Assume that the data is normally distributed.
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