History Bookmarks Window Help mat Elementary Statistics (1) Homework: Homework 3

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History Bookmarks Window Help mat Elementary Statistics (1) Homework: Homework 3 (Sec. # 24-25) Score: 0 of 1 pt Mariam Alsaadi& 9/23/18 8:01 PM Save 12 of 25 (12 complete) Score: 43%, 10.75 of 25 pts 2.4.51 Question Help Sample annual salaries (in thousands of dollars) for employees at a company are listed. 53 40 55 54 35 35 53 40 55 34 54 53 41 (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 originail 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)? (a) The sample mean is x 46.30 thousand dollars. (Round to one decimal place as needed.) The sample standard deviation is s 8.75 thousand dollars. (Round to one decimal place as needed.) (b) The sample mean is x = thousand dollars. (Round to one decimal place as needed.) Enter wour answer in the answer box and then click Check Answer.

Explanation / Answer

b) When each employee will receive a raise of $3000, mean will be increased by $3000 but there would be no impact on standard deviation. Hence,

Sample mean = 46.3 + 3 = 49.30

Sample standard deviation = 8.75

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