Question

In: Statistics and Probability

Question Dr. Gamble had been teaching PSYC 2021 for years, and always wore a suit to...

Question
Dr. Gamble had been teaching PSYC 2021 for years, and always wore a suit to class. His average teaching evaluation across all courses and years was 4.2/5. As Dr. Gamble was preparing for an upcoming PSYC 2021 course (N = 132), he wondered whether his course evaluations would be lower than the average across all of his previous classes if he wore jeans and a t-shirt to every class in the upcoming term. Use null hypothesis testing (all steps) to determine if wearing jeans and a t-shirt will lower Dr. Gamble’s teaching evaluations, relative to the mean of all previous sections of the course. Note that only 59 of the 132 students completed a teaching evaluation. Be sure to appropriately interpret the confidence interval and effect size (even if it is subjective) and include a general summary of the results. Use α = .10. Show excel formula used.

Data Set:

ID EVALS
1 3
2 4
3 4
4 5
5 5
6 5
7 3
8 5
9 5
10 4
11 4
12 3
13 4
14 5
15 3
16 5
17 5
18 5
19 5
20 3
21 4
22 2
23 4
24 3
25 3
26 4
27 4
28 4
29 5
30 3
31 5
32 3
33 5
34 3
35 4
36 5
37 5
38 5
39 3
40 5
41 4
42 2
43 5
44 5
45 4
46 5
47 4
48 5
49 2
50 5
51 3
52 5
53 3
54 2
55 3
56 4
57 5
58 4
59 3

Solutions

Expert Solution

Here test is left tailed with hypotheses as follows:

First we need to find the mean and SD using excel formula "=average()" and standard deviation "=stdev()". The mean and SD is

-----------------------------

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Confidence interval:

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Effect size:

It is small effect size.


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