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 137000 dollars. Assume the standard deviation is 30000 dollars. Suppose you take a simple random sample of 53 graduates. Find the probability that a single randomly selected policy has a mean value between 131642.9 and 144005.4 dollars. P(131642.9 < X < 144005.4) =  (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a random sample of size n=53n=53 has a mean value between 131642.9 and 144005.4 dollars. P(131642.9 < M < 144005.4) =  (Enter your answers as numbers accurate to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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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 137000 dollars. Assume the standard deviation is 30000 dollars. Suppose you take a simple random sample of 53 graduates.

Find the probability that a single randomly selected policy has a mean value between 131642.9 and 144005.4 dollars.
P(131642.9 < X < 144005.4) =  (Enter your answers as numbers accurate to 4 decimal places.)

Find the probability that a random sample of size n=53n=53 has a mean value between 131642.9 and 144005.4 dollars.
P(131642.9 < M < 144005.4) =  (Enter your answers as numbers accurate to 4 decimal places.)

Expert Solution
Step 1

Given information:

The mean salary for graduates (10 years after graduation) is, μ=137000 dollars.

The standard deviation of salary for graduates is, σ=30000 dollars.

A simple random sample of n = 53 graduates is chosen.

It is required to obtain:

  • the probability that a single randomly selected policy has a mean value of between 131642.9 and 144005.4 dollars.
  • the probability that a random sample of size n = 53 has a mean value between 131642.9 and 144005.4 dollars.

 

 

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