ECON 2102-Given a recent outbreak of illness caused
Question # 00408815
Posted By:
Updated on: 10/19/2016 12:30 AM Due on: 10/19/2016
Please analyze the following problems in JMP and answer the questions below.
1. Given a recent outbreak of illness caused by E.coli bacteria, the mayor of a large city is
concerned that some of his restaurant inspectors are not consistent with their evaluations of a
restaurant cleanliness. In order to investigate this possibility, the mayor has five restaurant
inspectors grade (scale of 0 to 100) the cleanliness of three restaurants.
Restaurant
Inspector
1 2 3
1
72 54 84
2
68 55 85
3
73 59 80
4
69 60 82
5
75 56 84
a. Perform some descriptive statistics on the data. What are the average cleanliness scores
for the 3 restaurants and the average cleanliness score given by the 5 inspectors? b. State the model and all of the appropriate hypotheses being tested for this Two-way
ANOVA problem c. Run a two-way ANOVA analysis and draw your conclusions. What is your conclusion
about the average cleanliness score between the three restaurants? What is your
conclusion about the effect of the 5 inspectors on the cleanliness score? Is there any
interaction between the Factors? d. Check the residual plots and comment on the adequacy of the model. 2. It is generally believed that a practical major such as business or engineering can really pay off
for college graduates (CNNMoney.com, July 2010). Other studies have shown that it is not just
the major, but also how students perform, as measured by their GPA, that influences their
salaries. Henry Chen, an employee of PayScale.com, wants to measure the effect of major and
GPA on starting salaries of graduates of the University of California at Irvine. He samples the
starting salaries of five graduates for a given GPA range from the schools of business,
engineering, and social sciences.
a. Perform some descriptive statistics on the data. What are the average salaries and
standard deviations for the different grouping variables? Create a graph that
summarizes the data (boxplot, bar graph or something similar). b. State the model and all of the appropriate hypotheses being tested for this Two-way
ANOVA problem c. Run a two-way ANOVA, with GPA, school, and the interaction term. Is there an
interaction between GPA range and the school of graduation? If so, interpret the
interaction through an LSmeans plot and multiple comparison confidence intervals. If no
interaction is present, draw your conclusion about starting salary between majors and
your conclusion about the effect of GPA on starting salary. d. Calculate the salary prediction for the following categories of students
i. An Engineering student with a 3.3 GPA
ii. A Business student with a 3.9 GPA
iii. A Social Science student with a 2.8 GPA GPA
Business Engineering Social Sciences
3.5-4.0
68
70
44
54
66
52
78
62
66 3.0-3.5 < 3.0 80
58
48
76
60
48
64
54
42
66
58
66 56
72
66
54
70
52
64
60
42
48
59
65 42
72
48
48
58
56
38
44
38
42
52
50
1. Given a recent outbreak of illness caused by E.coli bacteria, the mayor of a large city is
concerned that some of his restaurant inspectors are not consistent with their evaluations of a
restaurant cleanliness. In order to investigate this possibility, the mayor has five restaurant
inspectors grade (scale of 0 to 100) the cleanliness of three restaurants.
Restaurant
Inspector
1 2 3
1
72 54 84
2
68 55 85
3
73 59 80
4
69 60 82
5
75 56 84
a. Perform some descriptive statistics on the data. What are the average cleanliness scores
for the 3 restaurants and the average cleanliness score given by the 5 inspectors? b. State the model and all of the appropriate hypotheses being tested for this Two-way
ANOVA problem c. Run a two-way ANOVA analysis and draw your conclusions. What is your conclusion
about the average cleanliness score between the three restaurants? What is your
conclusion about the effect of the 5 inspectors on the cleanliness score? Is there any
interaction between the Factors? d. Check the residual plots and comment on the adequacy of the model. 2. It is generally believed that a practical major such as business or engineering can really pay off
for college graduates (CNNMoney.com, July 2010). Other studies have shown that it is not just
the major, but also how students perform, as measured by their GPA, that influences their
salaries. Henry Chen, an employee of PayScale.com, wants to measure the effect of major and
GPA on starting salaries of graduates of the University of California at Irvine. He samples the
starting salaries of five graduates for a given GPA range from the schools of business,
engineering, and social sciences.
a. Perform some descriptive statistics on the data. What are the average salaries and
standard deviations for the different grouping variables? Create a graph that
summarizes the data (boxplot, bar graph or something similar). b. State the model and all of the appropriate hypotheses being tested for this Two-way
ANOVA problem c. Run a two-way ANOVA, with GPA, school, and the interaction term. Is there an
interaction between GPA range and the school of graduation? If so, interpret the
interaction through an LSmeans plot and multiple comparison confidence intervals. If no
interaction is present, draw your conclusion about starting salary between majors and
your conclusion about the effect of GPA on starting salary. d. Calculate the salary prediction for the following categories of students
i. An Engineering student with a 3.3 GPA
ii. A Business student with a 3.9 GPA
iii. A Social Science student with a 2.8 GPA GPA
Business Engineering Social Sciences
3.5-4.0
68
70
44
54
66
52
78
62
66 3.0-3.5 < 3.0 80
58
48
76
60
48
64
54
42
66
58
66 56
72
66
54
70
52
64
60
42
48
59
65 42
72
48
48
58
56
38
44
38
42
52
50
-
Rating:
/5
Solution: ECON 2102-Given a recent outbreak of illness caused