Assume a population of 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population. listed below are the nine different samples. Complete parts a through d.
2,2 2,4 2, 12 4,2 4,4 4, 12 12, 2 12, 4 12, 12
A. find the value of the population standard deviation. Round to three decimals.
B. find the standard deviation of each of the nine samples then sumarize the sampling distrubiton of the standard deviatons in teh format of a table representing the probability distrbution of the distinct SD values. Use ascending order of the sample standard deviations.
S Probability
C. Find the mean of the sampling distribution of the sample standard deviations.
roudn to three decimals.
D. Do the sample standard deviation target the value of the population standard deviation? In general do sample SD make good estimators of population SD? Why or why not?