Question
In: Statistics and Probability
Use R for this problem(Code in R). A firm’s personnel officer sampled 36 male and 24...
Use R for this problem(Code in R). A firm’s personnel officer sampled 36 male and 24 female employees investigate allegations that the men in the organization tend to receive hire annual bonuses than the women. Their bonuses (as percentages of their annual salaries) are below.
Men
| 10.4 | 8.9 | 11.7 | 12.0 | 8.7 | 9.4 | 9.8 | 9.0 | 9.2 | 9.7 |
| 9.1 | 8.8 | 7.9 | 9.9 | 10.0 | 10.1 | 9.0 | 11.4 | 8.7 | 9.6 |
| 9.2 | 9.7 | 8.9 | 9.3 | 10.4 | 11.9 | 9.0 | 12.0 | 9.6 | 9.2 |
| 9.9 | 9.0 | 9.2 | 9.4 | 9.7 | 8.9 |
Women
| 8.4 | 9.0 | 9.0 | 7.7 | 9.6 | 8.4 | 9.1 | 9.2 | 8.7 | 9.1 |
| 9.3 | 8.4 | 6.7 | 9.9 | 8.0 | 9.2 | 7.7 | 11.9 | 6.2 | 8.4 |
| 9.0 | 6.9 | 7.6 | 7.4 |
a) Check all necessary assumptions for running a
t-test for the difference between the two populations of bonus
percentages. If you need to, check normality with boxplots, normal
probability plots, ad.test(), and shapiro.test().
b) Can you pool in this situation Why or why
not
c) Write down the hypotheses to test given the
personnel officer wants to know if there is evidence to conclude
the men receive higher bonus percentages. Use R to run a t-test
using the t.test() function. Provide your code, output, and
conclusion based on the p-value.
Question!
I tested the Anderson-Darling and Shapiro tests. According to the two tests, in case of men, we reject to the null hypothesis since the p-value is too small. So, the population of men don't follow the normal distribution. However, the answers from this website are saying the men is normal distribution. And, do you think is can not be pooled? They are almost same standard deviation. I don't want to get same answer that is from here.
Solutions
orchestra answered 1 year agoRelated Solutions
Use R for this problem(Code in R). A firm’s personnel officer sampled 36 male and 24...
Use R for this problem(Code in R). A firm’s personnel officer
sampled 36 male and 24 female employees investigate allegations
that the men in the organization tend to receive hire annual
bonuses than the women. Their bonuses (as percentages of their
annual salaries) are below.
Men
10.4
8.9
11.7
12.0
8.7
9.4
9.8
9.0
9.2
9.7
9.1
8.8
7.9
9.9
10.0
10.1
9.0
11.4
8.7
9.6
9.2
9.7
8.9
9.3
10.4
11.9
9.0
12.0
9.6
9.2
9.9
9.0
9.2
9.4...
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