A population consists of the following five values: 15, 15, 12, 20, 27. a. Not a
ID: 2933921 • Letter: A
Question
A population consists of the following five values: 15, 15, 12, 20, 27. a. Not available in Connect. b. By listing all samples of size 3, compute the mean of the distribution of the sample mean and the population mean. Compare the two values. (Round the final answer to the nearest whole number.)
Both means are
By listing all samples of size 3, compute the mean of the distribution of the sample mean and the population mean. Compare the two values. (Round the final answer to the nearest whole number.)Explanation / Answer
Number of sample of size 3 = 5C3 = 10
Sample means are, (15+15+12)/3 = 14
(15+15+20)/3 = 16.67
(15+15+27)/3 = 19
(15+12+20)/3 = 15.67
(15+12+27)/3 = 18
(15+12+20) = 15.67
(15+12+27) = 18
(12+20+27)/3 = 19.67
(15+20+27)/3 = 20.67
(15+20+27)/3 = 20.67
Mean of sample mean = (14+16.67+19+15.67+18+15.67+18+19.67+20.67+20.67)10
= 17.8
Population mean = (15+15+12+20+27)/5 = 17.8
Both means are same
Range of sample mean = (20.67-14) = 6.67
Range of population= 27-12 = 15
The dispersion of population is greater than that of the sample means
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