2. (a) Suppose the three real estate appraisers independently examined each of five properties chosen at random from a particular neighborhood and gave appraised values. The manager of the appraisal service that employs them suspects that systematic differences among their methods of appraisal are causing undesirable inconsistencies in appraised values provided by her service. The issue is whether there are, in fact, systematic differences among the values reported by the three appraisers. The data, APPRAISED VALUES (In thousands of dollars), are shown below. Question: What kind of statistical analysis should you perform? Choose from: (Two sample t- test, pairwise t-test, One-way ANOVA, One-way ANOVA with block, Two-way ANOVA, Factorial design). If your answer is One-way ANOVA with block, which variable does play a role of block? Appraiser A Property 90 93 92 2 94 96 88 3 91 92 84 4 85 88 83 88 90 87
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please do it in excel. there are 3 part and this is the complete question
![2. (a) Suppose the three real estate appraisers independently examined each of five properties chosen at
random from a particular neighborhood and gave appraised values. The manager of the appraisal
service that employs them suspects that systematic differences among their methods of appraisal
are causing undesirable inconsistencies in appraised values provided by her service. The issue
is whether there are, in fact, systematic differences among the values reported by the three
appraisers. The data, APPRAISED VALUES (In thousands of dollars), are shown below.
Question: What kind of statistical analysis should you perform? Choose from: (Two sample t-
test, pairwise t-test, One-way ANOVA, One-way ANOVA with block, Two-way ANOVA, Factorial
design). If your answer is One-way ANOVA with block, which variable does play a role of block?
Appraiser
A
90
Property
93
92
2
94
96
88
3
91
92
84
4
85
88
83
88
90
87
(b) Suppose each of 4 Chardonnay wines of the same vintage was judged by 5 judges. Each wine was
blinded and given to each judge in randomized order. The wines were scored on a 40-point scale,
with higher scores meaning better wine. Based on those scores, we want to test whether there is
a difference between the 4 Chardonnay wines in mean scores.
Question: What kind of statistical analysis should you perform? Choose: (Two sample t-test,
pairwise t-test, One-way ANOVA, One-way ANOVA with block, Two-way ANOVA, Factorial
design). If your answer is One-way ANOVA with block, which variable does play a role of block?
(c) A researcher was interested in whether an individual's interest in politics was influenced by their
level of education and gender. Therefore, the dependent variable (response variable) was "interest
in politics" and the two independent variables were "gender" and "level of education."
In particular, the researcher wanted to know whether there was an interaction between education
level and gender. Put another way, was the effect of level of education on interest in politics
different for males and females?
To answer this question, a random sample of 60 participants were recruited to take part in the
study-30 males and 30 females-equally split by level of education: school, college and university
(i.e., 10 participants in each group). Each participant in the study completed a questionnaire
that scored their interest in politics on a scale of 0 to 100, with higher scores indicating a greater
interest in politics.
Question: What kind of statistical analysis should you perform to answer for the original question?
(Two sample t-test, pairwise t-test, One-way ANOVA, One-way ANOVA with block, Two-way
ANOVA, Factorial design)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f8edec1-8d43-45b2-a95b-be2335431e6b%2F7f938696-e583-4131-84e2-2f87e05631b4%2Fyivfni_processed.jpeg&w=3840&q=75)
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