e. Aher identilying the 16 diflerent possble samplon and Seding the mean of each

Question

e. Aher identilying the 16 diflerent possble samplon and Seding the mean of each sample, consltruct a table representing the sampling disthibution of the sample mean. Iin the table, values of the sample mean that ane the same have bean 24 22.5 365 30 5 30 20 18.5 Type integers or fractions b. Compare the mean of the population to the mean of the sampling distribution of the sample mean The man of the popition,Dis Round to two decimal places e.Dothe samplonoar trgetthe value ofthe poeddon mean? ln generul, do sanple moans make good ostmates of popdation means? why or why not The sample means the population mean. in general, sample meansmakgood estimates means because the mean is

Explanation / Answer

from above as there are 4*4 =16 sample possible therefore each sample has probability =1/16

belw is probability distirbution of sample mean:

adding values of probablity for duplicate values below is required table:

b)

the mean of the population 26.5 is equal to mean of the sample means 26.5

c)the sample mean target the population mean. in general sample mean does make a good estimator ...............................because the mean is unbiased estmator

x1 x2 xbar P(X1,X2) 43 43 43 1/16 30 43 36.5 1/16 18 43 30.5 1/16 15 43 29 1/16 43 30 36.5 1/16 30 30 30 1/16 18 30 24 1/16 15 30 22.5 1/16 43 18 30.5 1/16 30 18 24 1/16 18 18 18 1/16 15 18 16.5 1/16 43 15 29 1/16 30 15 22.5 1/16 18 15 16.5 1/16 15 15 15 1/16

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