Run the DEVIATION program for the sample sizes listed below. Record the Sampling Distribution S.D. Mean and ERROR for each sample size. Note: ERROR = SAMPLING S.D. MEAN − POPULATION S.D. a. Does the...

Run the DEVIATION program for the sample sizes listed below. Record the Sampling Distribution S.D. Mean and ERROR for each sample size. Note: ERROR = SAMPLING S.D. MEAN − POPULATION S.D.

a. Does the SAMPLING S.D. MEAN consistently overestimate the POPULATION S.D.? YES _______ NO _______

b. Does the variance of the sampling distribution decrease with increased sample size? YES _______ NO _______

c. The mean of the sampling distribution doesn’t get any closer to the popula-tion standard deviation. What do the signs of the differences lead you to think about the direction of the bias when the sample standard deviation is used as an estimator of the population standard deviation?