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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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Problem 4T: Over the past year, John has purchased 30 books. In how many ways can he pick four of these books...
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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.

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