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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A local West Lafayette commercial bank issues Mastercard credit cards. As a part of its annual review of the profitability of each type of credit card, the bank randomly samples 36 customers to measure the average annual charges per card. A random sample of 36 Mastercard accounts shows the following annual spending per account (in USD): 2869 3770 2854 2750 2574 2972 2549 3267 3013 2707 2794 1189 2230 2178 3032 3485 2679 2010 1994 2768 3853 2064 3244 2738 2807 2395 3405 3006 3368 2691 1996 3008 2518 2674 2730 3719 1. Based on these randomly sampled accounts, what is the best point estimate of the true mean annual spending for Mastercard account holders? 2. Develop a 95% confidence interval estimate of the mean annual spending. Interpret this range. 3. To encourage more use of the card, the company offers a promotion that costs the bank $5 for each card that carries a balance of $3,000 or more. If the bank has 50,000 total customers, what can be stated about the cost of this program to the bank?

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