Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $138,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 19 graduates. Round all answers to four decimal places if necessary. For a single randomly selected graduate, find the probability that her salary is between $141,759 and $156,006.  For a simple random sample of 19 graduates, find the probability that the average salary is between $141,759 and $156,006.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $138,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 19 graduates. Round all answers to four decimal places if necessary.

  1. For a single randomly selected graduate, find the probability that her salary is between $141,759 and $156,006. 
  2. For a simple random sample of 19 graduates, find the probability that the average salary is between $141,759 and $156,006.
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