a. Explanation Given info: From Exercise 7.9 the population data for a variable is 1, 2, 3, 4, 5 and 6. Calculation: From Exercise 7.9 (b), the x ¯ for each sample sizes are as follows, Samples x ¯ 1 1 2 2 3 3 4 4 5 5 6 6 1,2 1.5 1,3 2 1,4 2.5 1,5 3 1,6 3.5 2,3 2.5 2,4 3 2,5 3.5 2,6 4 3,4 3.5 3,5 4 3,6 4.5 4,5 4.5 4,6 5 5,6 5.5 1,2,3 2 1,2,4 2.3 1,2,5 2.7 1,2,6 3 1,3,4 2.7 1,3,5 3 1,3,6 3.3 1,4,5 3.3 1,4,6 3.7 1,5,6 4 2,3,4 3 2,3,5 3.3 2,3,6 3.7 2,4,5 3.7 2,4,6 4 2,5,6 4.3 3,4,5 4 3,4,6 4.3 3,5,6 4.7 4,5,6 5 1,2,3,4 2.5 1,2,3,5 2.75 1,2,3,6 3 1,2,4,5 3 1,2,4,6 3.25 1,2,5,6 3.5 1,3,4,5 3.25 1,3,4,6 3.5 1,3,5,6 3.75 1,4,5,6 4 2,3,4,5 3.5 2,3,4,6 3.75 2,3,5,6 4 2,4,5,6 4.25 3,4,5,6 4.5 1,2,3,4,5 3 1,2,3,4,6 3.2 1,2,3,5,6 3.4 1,2,4,5,6 3.6 1,3,4,5,6 3.8 2,3,4,5,6 4 1,2,3,4,5,6 3.5 For n = 1 : The mean μ x ¯ of the variable x ¯ for the sample of size 1 is obtained by dividing the sum the of sample means with number of the values. μ x ¯ = 1 + 2 + 3 + 4 + 5 + 6 6 = 21 6 = 3.5 Thus, the mean μ x ¯ of the variable x ¯ for sample size 1 is 3.5. For n = 2 : The mean μ x ¯ of the variable x ¯ for the sample of size 2 is obtained by dividing the sum the of sample means with number of the values. μ x ¯ = 1.5 + 2 + 2.5 + 3 + 3.5 + 2.5 + 3 + 3.5 + 4 + 3.5 + 4 + 4.5 + 4.5 + 5 + 5.5 15 = 52.5 15 = 3.5 Thus, the mean μ x ¯ of the variable x ¯ for sample size 2 is 3.5. For n = 3 : The mean μ x ¯ of the variable x ¯ for the sample of size 3 is obtained by dividing the sum the of sample means with number of the values b. To determine The mean μ x ¯ of the variable x ¯ using answer form Exercise 7.9 (a).

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ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 7.2, Problem 39E

To determine

The mean μx¯ of the variable x¯ for each of the sample sizes using answers form Exercise 7.9 (b).

To determine

The mean μx¯ of the variable x¯ using answer form Exercise 7.9 (a).

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Chapter 7.2, Problem 38E

Chapter 7.2, Problem 40E

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The mean μ x ¯ of the variable x ¯ for each of the sample sizes using answers form Exercise 7.9 (b).

Solution Summary: The author calculates the stackrel x for each of the sample sizes using Exercise 7.9 (b).

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The mean μx¯ of the variable x¯ for each of the sample sizes using answers form Exercise 7.9 (b).

The mean μx¯ of the variable x¯ using answer form Exercise 7.9 (a).

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