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.