Answered: A taxi company is trying to decide…

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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Question

$A taxi company is evaluating whether to purchase Brand A or Brand B tires for its fleet of taxis. To estimate the difference between the two brands, an experiment is conducted using 16 tires of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 95% confidence interval for μ_A − μ_B assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. \[ \begin{array}{|c|c|c|} \hline \text{Brand} & \bar{x} & s \\ \hline \text{Brand A} & 34,900 \text{ kilometers} & 5,000 \text{ kilometers} \\ \text{Brand B} & 37,600 \text{ kilometers} & 6,400 \text{ kilometers} \\ \hline \end{array} \] - $\bar{x}_1 = 34,900$ kilometers, $s_1 = 5,000$ kilometers for Brand A. - $\bar{x}_2 = 37,600$ kilometers, $s_2 = 6,400$ kilometers for Brand B. [Click here to view page 1 of the table of critical values of the t-distribution.](#) [Click here to view page 2 of the table of critical values of the t-distribution.](#) --- The confidence interval is [ ] < μ_A − μ_B < [ ]. (Round to the nearest integer as needed.)$

Transcribed Image Text:A taxi company is evaluating whether to purchase Brand A or Brand B tires for its fleet of taxis. To estimate the difference between the two brands, an experiment is conducted using 16 tires of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 95% confidence interval for μ_A − μ_B assuming the populations to be approximately normally distributed. You may not assume that the variances are equal. \[ \begin{array}{|c|c|c|} \hline \text{Brand} & \bar{x} & s \\ \hline \text{Brand A} & 34,900 \text{ kilometers} & 5,000 \text{ kilometers} \\ \text{Brand B} & 37,600 \text{ kilometers} & 6,400 \text{ kilometers} \\ \hline \end{array} \] - $\bar{x}_1 = 34,900$ kilometers, $s_1 = 5,000$ kilometers for Brand A. - $\bar{x}_2 = 37,600$ kilometers, $s_2 = 6,400$ kilometers for Brand B. [Click here to view page 1 of the table of critical values of the t-distribution.](#) [Click here to view page 2 of the table of critical values of the t-distribution.](#) --- The confidence interval is [ ] < μ_A − μ_B < [ ]. (Round to the nearest integer as needed.)