Assume a population of 3, 4, and 11. 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 below.

3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11

a. Find the value of the population standard deviation.

(Round to three decimal places as needed.)

b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations.

c. Find the mean of the sampling distribution of the sample standard deviations.

d. Do the sample standard deviations target the value of the population standard deviation? In general, do sample standard deviations make good estimators of population standard deviations? Why or why not?

A. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are biased estimators.

B. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are unbiased estimators.

C. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are unbiased estimators.

D. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are biased estimators

Which distribution involves two random variables that may or may not have a numerical relationship with each other? O the discrete - uniform distribution a bivariate discrete distribution O the Poisson distribution O the binomial distributionWhich distribution always has the same probability for all possible outcomes? O the discrete - uniform distribution O a bivariate discrete distribution the Poisson distribution O the binomial distributionSuppose you are an telephone operator of a company and yourjob is to answer the phones. Let the waiting time between two phone calls be T. Decide a distribution of T. \"F" Binomial Distribution -"' Exponential Distribution 7\"" Beta Distribution f.\" Uniform Distribution