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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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Chapter 6, Problem 9E

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QUESTION:

Problem 9E

Assume that the sample is taken from a large population and the eorrection factor can be ignored.

College CostsThe mean undergraduate cost for tuition, fees. room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that σ = $3204 and that 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is

a. Less than $25.000

b. Greater than $26,000

c. Between $24,000 and $26,000

Questions & Answers

QUESTION:

Problem 9E

Assume that the sample is taken from a large population and the eorrection factor can be ignored.

College CostsThe mean undergraduate cost for tuition, fees. room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that σ = $3204 and that 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is

a. Less than $25.000

b. Greater than $26,000

c. Between $24,000 and $26,000

ANSWER:

Solution:

Step 1 of 4:

The mean undergraduate cost in an institution was $26,489.

Here the data is normally distributed with = $3204.

36 four-year institutions are randomly selected.

We have to find the following.

  1. Probability that mean cost for the selected schools is less than $25,000.
  2.  Probability that mean cost for the selected schools is greater than $26,000.
  3. Probability that mean cost for the selected schools is between $24,000 and $26,000.

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