Question

Question 3. (Independent Samples) In large corporations, an “intimidator” is an employee who tries to stop communication, sometimes sabotages others, and above all, likes to listen to him- or herself talk. Let x1 be a random variable representing productive hours per week lost by peer employees of an intimidator. x1 : 8 3 6 2 2 5 2 A “stressor” is an employee with a hot temper that leads to unproductive tantrums in corporate society. Let x2 be a random variable representing productive hours per week lost by peer employees of a stressor. x2 : 3 3 10 7 6 2 5 8 Assuming that the variables x1 and x2 are independent, do that the data indicate that the population mean time lost due to stressors is greater than the population mean time lost due to intimidators? Use Minitab to obtain the summary statistics for each sample. Round the sample statistics you find to 2 decimal places. Perform this test by hand and be sure to show full details. Use a significance level of 0.05. (15 points)

Answer 1

We put in the data in Minitab as:


We click on the following options:


We select the following options in the Statistics option that appears:


We give in the following information:


We get the following information:



We are to test:


We use the test statistic:


We reject H0 at 5% level of significance iff


Now,


Now,


We observe that,


Hence, we fail to reject H0 at 5% level of significance, and conclude that there is no difference between the mean time loss by intimidator and stressor.


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