Suppose the HR manager of a company is interested in determining whether there is a difference in employee satisfaction across three different office locations. They randomly select 20 employees and ask each employee to rate their satisfaction with each office location on a scale of 1 (very dissatisfied) to 5 (very satisfied). The data are presented below: Employee 1 2 23 3 45 5 5D 7 8 10 11 12 13 14 15 67892 16 17 18 19 20 Office Location Location Location A B 4 3 3524 5 3524 5 2 3 345 NMUM & 2 3 5 3 4 245 5 WN SWANSA WNS WA WANS WAS 4 3 5 2 4 3 4 3 5 2 3 4 5 2 4 3 5 2 3 Location C 3 24 3 52 5 2 435NS & MINI MIN 5 2 5 4 3 2 4 2 5 3 5 4

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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(a)
(b)
Do these data provide sufficient evidence to indicate at the 5% significance level
that the three models are not equally preferred? State the hypotheses, perform the
appropriate test with R, report the observed test statistic, make a statistical
decision, and draw the implied conclusion. Provide both code and printout from R.
(C)
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.
(d)
Calculate the test statistic manually for the test you performed with R in part (b).
Does your test statistic match the one reported by R?
What are the requirements of the test you performed in parts (b) and (c)? Are they
satisfied this time, or do you have to assume that they are met? Provide evidence
to support these conclusions.
Transcribed Image Text:(a) (b) Do these data provide sufficient evidence to indicate at the 5% significance level that the three models are not equally preferred? State the hypotheses, perform the appropriate test with R, report the observed test statistic, make a statistical decision, and draw the implied conclusion. Provide both code and printout from R. (C) 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. (d) Calculate the test statistic manually for the test you performed with R in part (b). Does your test statistic match the one reported by R? What are the requirements of the test you performed in parts (b) and (c)? Are they satisfied this time, or do you have to assume that they are met? Provide evidence to support these conclusions.
Suppose the HR manager of a company is interested in determining whether there is a
difference in employee satisfaction across three different office locations. They
randomly select 20 employees and ask each employee to rate their satisfaction with
each office location on a scale of 1 (very dissatisfied) to 5 (very satisfied). The data are
presented below:
Employee
HNM st in 6780
1
2
3
4
5
8
9
10
11
Office Location
Location Location Location
B
с
435N & MINN
2
4
3
5
2
4
12 13 14 15 16 17 18 19 20
MINN MINN45
3
4
5
2
3
3
2
L43524
3
m st
4
3
WNS WANUAWN SE
5
2
3
4
5
2
4
3
5
2
3
3
MNAMIN NAMIN INI Min min
2
4
3
5
2
4
3
5
2
5
4
3
2
4
2
5
3
5
4
Transcribed Image Text:Suppose the HR manager of a company is interested in determining whether there is a difference in employee satisfaction across three different office locations. They randomly select 20 employees and ask each employee to rate their satisfaction with each office location on a scale of 1 (very dissatisfied) to 5 (very satisfied). The data are presented below: Employee HNM st in 6780 1 2 3 4 5 8 9 10 11 Office Location Location Location Location B с 435N & MINN 2 4 3 5 2 4 12 13 14 15 16 17 18 19 20 MINN MINN45 3 4 5 2 3 3 2 L43524 3 m st 4 3 WNS WANUAWN SE 5 2 3 4 5 2 4 3 5 2 3 3 MNAMIN NAMIN INI Min min 2 4 3 5 2 4 3 5 2 5 4 3 2 4 2 5 3 5 4
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