Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she graduates, and she is curious about what starting salary offers she might...

Agnes Hammer is a senior majoring in management science. She has been interviewing with

several companies for a job when she graduates, and she is curious about what starting salary

offers she might receive. There are 140 seniors in the graduating class for her major, and more

than half have received job offers. She asked 12 of her classmates at random what their annual

starting salary offers were, and she received the following responses:

$28,500 $35,500

32,600 36,000

34,000 25,700

27,500 29,000

24,600 31,500

34,500 26,800

Assume that starting salaries are normally distributed. Compute the mean and standard deviation for

these data and determine the probability that Agnes will receive a salary offer of less than $27,000.