Check to see whether the correction factor should be used.

Chapter 6, Problem 27EC

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QUESTION:

Check to see whether the correction factor should be used. If so, be sure to include it in the calculations

Home ValuesA study of 800 homeowners in a certain area showed that the average value of the homes was $82.000, and the standard deviation was $5000. If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than $83.500.

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QUESTION:

Check to see whether the correction factor should be used. If so, be sure to include it in the calculations

Home ValuesA study of 800 homeowners in a certain area showed that the average value of the homes was $82.000, and the standard deviation was $5000. If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than $83.500.

ANSWER:

Step 1 of 2

     From the given problem we have

  The mean

  The standard deviation

  The sample size n = 50

  The population size N = 800.

Here we have to find the probability that the mean of the values of these homes is greater than $83.500.

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