Question

A school administrator wants to test the hypothesis that the grades students anticipate receiving in their classes are related to, and may help to predict, the ratings the students give to their teachers when filling out the teaching evaluations. Each of 12 randomly selected students indicated the grade he or she anticipated receiving in a course and rated the instructor of the course. The anticipated grades were transformed into numerical scores as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. The rating of the instructor was made on a scale from one to five (the higher the score the more favorable the rating). Given the data that appear below (from the 12 students) determine whether anticipated grades and ratings of the instructor are significantly related to one another, and how anticipated grades might be used to predict ratings of instructors.

Anticipated Rating 0f

Students grade instructor

1 3 5

2 0 3

3 2 2

4 2 4

5 4 5

6 1 4

7 4 5

8 3 4

9 2 4

10 3 5

11 2 3

12 3 3

a) what is the inferential statistic? (choose one)

•Two-independent-samples t test

•Related-samples t test

•One-way between-subjects ANOVA

•One-way repeated-measures (within-subjects) ANOVA

•Two-way between-subjects ANOVA

•Regression/correlation

•Chi-square test for independence

b) what are the critical value(s)

c) reject the null hypothesis(yes or no)

Answer #1

a) what is the inferential statistic

•Related-samples t test it is also called paired sample t test

The Test statistic value=5.20

The criticel value=t(0.05/2,11)=2.20

The tets statistic vale is Grater than The critical value

We reject the null hypothesis

i.e anticipated grades and ratings of the instructor are significantly related to one another

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A
B
C
Total
Male
16
3
9
28
Female
12
17
7
36
Total
28
20
16
64
If one student is chosen at random, find the probability that
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11.)
Giving a test to a group of students, the grades and gender are
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A.
A test was given to a group of students. The grades and gender
are summarized below:
A
B
C
Total
Male
17
16
7
40
Female
4
3
12
19
Total
21
19
19
59
Let p represent the percentage of all female students who would
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Enter your answer using decimals (not percents).
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A
B
C
Total
Male
11
12
3
26
Female
19
15
5
39
Total
30
27
8
65
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Group 1
10, 8, 9, 11,
8, 9, 7, 6,
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Group 2
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A
B
C
Total
Male
5
4
11
20
Female
10
9
19
38
Total
15
13
30
58
If one student was chosen at random,
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(Enter your answer in decimal format rounded to 2
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