The following table lists the job satisfaction scores for all eight pediatrician

Question

The following table lists the job satisfaction scores for all eight pediatricians at Family Practice as well as four examples of possible four-pediatrician samples. At the bottom of the table, the variance listed in the second column for all eight pediatricians is the population variance for the eight pediatricians (that is, 2 = SS/N = SS/8). The variances listed in the third through the sixth columns are the sample variances for each of the four-pediatrician samples (that is, s2 = SS / (n-1)-SS/3) Pediatrician Satisfaction Sample 1 Sample 2 Sample 3 Sample 4 Mean 6.00 6.75 6.50 5.25 6.00 Variance 5.50 2.25 1.67 6.25 4.67 What is the mean of the four sample means? What is the mean of the four sample variances? if the average value of the sample statistic, obtained over all possible samples, is A sample statistic is equal to the population parameter if it consistently underestimates or overestimates the corresponding population A sample statistic is parameter A sample mean (that is, M-EX/n) is estimate of the population mean A sample variance that is computed as s2 = SS/ (n-1) is estimate of the population variance

Explanation / Answer

Mean of 4 sample means =(6.75+6.5+5.25+6)/4 = 6.125

Mean of the four sample variances = (2.25+1.67+6.25+4.67)/4 = 3.71

A sample statistic is unbiased statistic if the average value of te sample statistic, obtained over all possible samples is equal to the population parameter.

A sample statistic is baised statistic if consistently underestimates or overestimates the corresponding population parameter.

A sample mean is the unbiased estimate of the population mean

A sample varianve is unbiased estimate of the population variance

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