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- October 14th 2008, 06:10 PM #1

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## Mean??

(1 pt) The distribution below shows the number of dogs per family in the United States.

Number of Dogs Proportion of Families

0 0.505

1 0.203

2 0.191

3 0.073

4 0.028

Using the corresponding strings of Random digits, simulate a sampling of 10 U.S. families and calculate the Mean Number of dogs in the sample.

(a) 08422 68953 19645 09303 23209 02560

Mean of the Sample:

(b) 99019 02529 09376 70715 38311 31165

Mean of the Sample:

how can i calculate the mean??

- October 14th 2008, 09:35 PM #2

- October 14th 2008, 10:57 PM #3

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- October 15th 2008, 12:40 AM #4

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You take blocks of three random digits and treat as a three digit random number in the range 0,1. Then use this to generate the number of dogs in a hypothetical family.

The cumulative probability for the dog distribution is given below in the third cloumn, this is what you need to simulate a number of families dog ownership statistics:

0 0.505 0.505

1 0.203 0.708

2 0.191 0.899

3 0.073 0.978

4 0.028 1.000

So our first random number is 0.0842 this is less than 0.505 so this family has 0 dogs.

The next random number is 0.226, again less than 0.595 so the second familly has 0 dogs

The next random number is 0.895, again less than 0.899 but greater than 0.708 so the second familly has 2 dogs

etc

This gives you a sample of family dog ownership statistics from which you should compute a mean.

CB