Sample annual salaries (in thousands of dollars) for employees at a company are listed. 44 33 49 50 41 41 44 33 49 34 50 44 54 (a) Find the sample mean and sample standard deviation.
(b) Each employee in the sample is given a $3000 raise. Find the sample mean and sample standard deviation for the revised data set.
(c) Each employee in the sample takes a pay cut of $4000 from their original salary. Find the sample mean and the sample standard deviation for the revised data set.
(d) What can you conclude from the results of (a), (b), and (c)?

Solve this:
(a) The sample mean is x= thousand dollars.
(Round to one decimal place as needed.)

The sample standard deviation is s= thousand dollars.
(Round to one decimal place as needed.)

(b) The sample mean is x= thousand dollars.
(Round to one decimal place as needed.)

The sample standard deviation is s= thousand dollars.
(Round to one decimal place as needed.)

(c) The sample mean x= thousand dollars.
(Round to one decimal place as needed.)

The sample standard deviation is s= thousand dollars.
(Round to one decimal place as needed.)

(d) What can you conclude from the results of (a), (b), and (c)?

A. When a constant k is added to or subtracted from each entry, the new sample mean is x+k or x−k, respectively, and the sample standard deviation remains unaffected.

B. When a constant k is added to or subtracted from each entry, the new sample mean is x+k or x−k, respectively, and the new sample standard deviation is s•k

C. When a constant k is added to or subtracted from each entry, the sample mean is unaffected, and the new sample standard deviation is s+k or s−k, respectively

D. When a constant k is added to or subtracted from each entry, the new sample mean is x+k or x−k, respectively, and the new sample standard deviation is s+k.