Use the population of ages {56,49,58,46} of the four U.S. presidents (Lincoln, G

Question

Use the population of ages {56,49,58,46} of the four U.S. presidents (Lincoln, Garfield, McKinley, Kennedy) when they were assassinated in office. Assume that random samples of 2 are selected with replacement.

After Identifying the 16 different possible samples, find the mean of each sample, then construct a table representing the sampling distribution of the sample mean. In the table, combine values of the sample mean that are the same.

Compare the mean of the population to the mean of the sampling distribution of the sample mean.

Do the sample means target the value of the population mean?

HELP!!!!

Explanation / Answer

The 16 possible samples are:

(56,49,58,46)

(56,49),(56,58)(56,46),(56,56)

(49,56), (49,58),(49,46),(49,49)

(58,56),(58,49),(58,46),(58,58)

(46,56),(46,49),(46,58),(46,46)

Samples Values Sum Mean 1 56,49 105 52.5 2 56,58 114 57 3 56,46 102 51 4 56,56 112 56 5 49,56 105 52.5 6 49,58 107 51.5 7 49,46 95 47.5 8 49,49 98 49 9 58,56 114 57 10 58,49 107 53.5 11 58,46 104 52 12 58,58 116 58 13 46,56 102 51 14 46,49 95 47.5 15 46,58 104 52 16 46,46 92 46

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