Suppose a technician claims that her monthly repairs are less than 50 units, on average. Several of her coworkers do not believe her, so the technician decides to do a hypothesis test, at a 10% significance level, to persuade them. She records data from 16 previous months and works through the testing procedure:H0: μ=50; Ha: μ<50x¯=41σ=6α=0.1 (significance level)The test statistic isz0=x¯−μ0σn√=41−50616√=−6The critical value is −z0.1=−1.28.Conclude whether to reject or not reject H0, and interpret the results. Select the correct answer below:Reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.Reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the mean monthly repairs is less than 50 units.Do not reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.Do not reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the mean smonthly repairs is less than 50 units.

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Description: Suppose a technician claims that her monthly repairs are less than 50 units, on average. Several of her coworkers do not believe her, so the technician decides to do a hypothesis test, at a 10% significance level, to persuade them. She records data f

Given, The hypothesis to be tested is: This is a left tail test The test statistics is obtained…

Answered: Suppose a technician claims that her…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Suppose a technician claims that her monthly repairs are less than 50 units, on average. Several of her coworkers do not believe her, so the technician decides to do a hypothesis test, at a 10% significance level, to persuade them. She records data from 16 previous months and works through the testing procedure:

H0: μ=50; Ha: μ<50
x¯=41
σ=6
α=0.1 (significance level)
The test statistic is
z0=x¯−μ0σn√=41−50616√=−6
The critical value is −z0.1=−1.28.

Conclude whether to reject or not reject H0, and interpret the results.

Select the correct answer below:

Reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.
Reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the mean monthly repairs is less than 50 units.
Do not reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.
Do not reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the mean smonthly repairs is less than 50 units.

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