Question
Hi, can you show me how do these questions in detail please, thank you Exercise 3 A psychologist is hired to compare the levels of
Hi, can you show me how do these questions in detail please, thank you
Exercise 3 A psychologist is hired to compare the levels of job satisfaction of salespersons at three large companies, Firm A, Firm B and Firm C. Ten salespersons are selected at random from each firm and given in-depth tests to ascertain their level of job satisfaction on a scale 0, 1, ..., 100. The results are saved in the a2e3.xlsx file (below). (a) (6 marks) What is the variable of interest? Is it qualitative or quantitative? If it is qualitative, is it ranked or unranked? If it is quantitative, is it discrete or continuous? What is its level of measurement? What is the experimental design? Explain your answers. (b) (9 marks) Perform a parametric test at the 1% significance level with R to find out whether there are differences in the salespersons mean job satisfaction among the three firms. State the hypotheses, report the observed test statistic, make a statistical decision, and draw the implied conclusion. (c) (9 marks) Perform a nonparametric test at the 1% significance level with R to find out whether there are differences in the salespersons median job satisfaction among the three firms. State the hypotheses, report the observed test statistic, make a statistical decision, and draw the implied conclusions. (d) (9 marks) What conditions are required by the tests you performed in parts (b) and (c)? Are they satisfied this time? Provide as many supporting evidence as possible. (e) (3 marks) In the light of your answers in parts (b), (c) and (d), what conclusion should the psychologist arrive at? How confident one can be in this conclusion? Explain your answers.
Firm_A | Firm_B | Firm_C |
67 | 66 | 87 |
65 | 68 | 80 |
59 | 55 | 67 |
59 | 59 | 89 |
58 | 61 | 80 |
61 | 66 | 84 |
66 | 62 | 78 |
53 | 65 | 65 |
51 | 64 | 72 |
64 | 74 | 85 |
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