Question

Salary Offers You are applying for jobs at two companies. Company A offers starting salaries with m = $31,000 and s = $1000. Company B offers starting salaries with m = $31,000 and s = $5000. From which company are you more likely to get an offer of $33,000 or more? Explain your reasoning.

please explain show work

Answer 1

You are applying for a job at two companies. Company A offers salaries with a mean of $31000 and a standard deviation of $1000
z(33000) = (33000-31000)/1000 = 2
---------------------------------
and company B offers salaries with a mean of $31000 and a standard deviation of $5000.
z(33000) = (33000-31000)/5000 = 0.4

------

Since 33000 is 2 standard deviations above the mean for company A.but less than one standard deviation above the mean for company B.
Thus it 8s conclude that better opportunity for a 33000 offer from B company.

Ans: Company B