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# Distribution of samples

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The Appliance Center has six sales representatives at their North Jacksonville outlet. Listed below is the number of refrigerators sold by each last month.

Sales Representative Number Sold
Zina Craft 54
Woon Junge 50
Ernie DeBrul 52
Jan Niles 48
Molly Camp 50
Rachel Myak 52

a. How many samples of size two are possible?
b. Select all possible samples of size two and compute the mean number sold.
c. Organize the sample means into a frequency distribution.
d. What is the mean of the population? What is the mean of the sample means?
e. What is the shape of the population distribution?
f. What is the shape of the distribution of the sample mean?

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#### Solution Preview

Please see the attached files.

a. How many samples of size two are possible?
Ans.
No of samples of size two

b. Select all possible samples of size two and compute the mean number sold.
Ans

Sample No Sample No Sold -Samples Mean
1 Craft Zina Junge Woon 54 50 52
2 Craft Zina DeBrul Ernie ...

#### Solution Summary

The solution gives the details of distribution of samples. Sample mean, frequency distribution are given with interpretations.

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