The following table gives the monthly salaries (in $100s) of the six officers of
ID: 3155784 • Letter: T
Question
The following table gives the monthly salaries (in $100s) of the six officers of a company.
Officer: A B C D E F
Salary: 8 12 16 20 24 28
a. Calculate the population mean monthly salary,
b. There are 15 possible samples of size 4 from the population of six officers.
i. List 15 possible samples in the first column (15 rows).
ii. List 4 corresponding salaries of the 4 officers in each sample (each row) in a second column.
iii. In the 3rd column, compute the mean of the 4 salaries
iv. Create the 4th column and compute all the standard deviations
v. Create the 5th column and compute the 95% confidence intervals
vi. Create the 6th column and put Yes/No if each confidence interval contains the population mean .
Explanation / Answer
officer SALARY A 8 B 12 C 16 D 20 E 24 F 28 18 samples officers MEAN std cI sample 1 A 8 14 5.163978 5.783,22.217) yes B 12 C 16 D 20 sample 2 A 8 15 6.831301 (4.130,25.870) yes B 12 C 16 E 24 sample 3 A 8 16 8.640988 (2.250,29.750) yes B 12 C 16 F 28 sample 4 B 12 18 5.163978 (9.783,26.217) yes C 16 D 20 E 24 sample 5 B 12 19 6.831301 (8.130,29.870) yes C 16 D 20 F 28 sample 6 C 16 22 5.163978 (13.783,30.217) yes D 20 E 24 F 28
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