In: Statistics and Probability
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 |
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.