Shifting Data (Standard Deviation) Sample annual salaries (in thousands of dollars) for employees at a company are listed: 40, 35, 49, 53, 38, 39, 40, 37, 49, 34, 38, 43, 47. a. Find the sample mean and sample standard deviation. b. Each employee is given a $1000 dollar raise (e.g. the first data point, 40, becomes 41). Find the sample mean and sample deviation of the new salaries. C. Due to poor company performance, each employee takes a pay cut of $3000 from the salaries found in part (b) (e.g. the first data point, 41, becomes 38). Find the sample mean and sample deviation for the new, lower salaries. d. Looking at your results in (a). (b), and (c). what effect does adding (the $1000 raise) or subtracting (the $3000 pay cut) have on the original mean and original standard deviation?

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