Answered: A metropolitan transportation authority…

Name: A metropolitan transportation authority has set a bus mechanical relia
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted

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 metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,750 bus miles and a sample standard deviation of 175 bus miles.

a. Is there evidence that the population mean bus miles is more than

3,700 bus miles? (Use a 0.10 level of significance.)

1) State the null and alternative hypotheses.

2) Identify the critical value(s).

3) Determine the test statistic and the P value

Expert Solution

Step 1

Given information:

A metropolitan transportation authority has set a bus mechanical reliability goal of $μ = 3700 bus miles$ .

A sample of n = 100 buses is randomly taken.

Sample mean, $\bar{x} = 3750 bus miles$

Sample standard deviation, s = 175 bus miles

Level of significance = 0.10

It is required to check whether there is evidence that the population mean bus miles is more than 3700 bus miles or not.

1) To state the null and alternative hypotheses

2) To identify the critical value (s)

3) To determine the test statistic and the p value

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