10.9 A car magazine is comparing the total repair costs incurredduring the first three years on two sports cars, the T-999 and the XPY.Random samples of 45 T-999s and 51 XPYS are taken. All 96 cars are3 years old and have similar mileages. The mean of repair costs forthe 45 T-999 cars is $3300 for the first 3 years. For the 51 XPY carsthis mean is $3850. Assume that the standard deviations for the twopopulations are $800 and $1000, respectivelya. Construct a 99% confidence interval for the differencebetween the two population meansb. Using a 1% significance level, can you conclude that suchmean repair costs are different for these two types of cars?c. What would your decision be in part b if the probability ofmaking a Type I error were zero? Explain

The provided information for the T-999 and XPY sports cars are:

Answered: 10.9 A car magazine is comparing the…

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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Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, u, spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? ? v when, in v the hypothesis that u is? v? v. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…
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