MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The Jimmy John’s store manager on Hwy. 46 wanted to know more about their customers.  She decides to focus on two variables: the average ticket spent by customers, and whether customers would consider purchasing ice cream if it was available.  She interviewed 54 customers over a two-week period.  Results of her research showed average ticket was $10.89 with a standard deviation of $2.35.  Twenty-two customers said they would purchase ice cream if it was available.

a. Construct a 95% confidence interval estimate for the population mean ticket.

b. Construct a 90% confidence interval estimate for the population proportion of customers who would consider purchasing ice cream.

Assume the store manager wants to conduct a similar survey at the National Road store. Answer the following questions:

c. What sample size is needed to have 95% confidence of estimating the population average ticket in this store to within plus/minus $1.00 if the standard deviation is assumed to be $2.35?

d. How many customers need to be selected to have 90% confidence of estimating the population proportion who would consider purchasing ice cream plus/minus 0.10 (10%)?   

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