Answered: A two-mean nonpooled hypothesis test…

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 two-mean nonpooled hypothesis test has two samples of sizes n1=17 and n2=24. The samples have standard deviations of s1=3 and s2=7. The degrees of freedom is found from the following calculation.

df=((3)217+(7)224)2(117−1)((3)217)2+(124−1)((7)224)2≈33.26

Determine the critical value(s) for a two-mean hypothesis test at the 2.5% significance level if the hypothesis test is left-tailed (Ha:μ1<μ2).

df...31323334t0.10…1.3091.3091.3081.307t0.05…1.6961.6941.6921.691t0.025…2.0402.0372.0352.032t0.01…2.4532.4492.4452.441t0.005…2.7442.7382.7332.728

Select all correct answers.

Select all that apply:

−2.04
−2.037
−2.035
2.035
2.037
2.04

Independent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level.

H0:μw≥μe
Ha:μw<μe
t0=−2.344
t0.04=−2.107

Select the correct answer below:

Yes; the test statistic is greater than the critical value.

No; the test statistic is less than the critical value.

No; the test statistic is greater than the critical value.

Yes; the test statistic is less than the critical value.

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