For the following situation find the mean and standard deviation of the populati

Question

For the following situation find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The number of DVDs rented by each of three families in the month is 5, 12, and 7. Use a sample size of 2. The mean of the population is . The standard deviation of the population is Choose all of the correct samples below A. 12.7 B. 7.3 C. 5.3 D. 12, 12 E. 127,6 F. 5,6 G. 5,7,12 H. 6,12 I. 7,7 J. 12,5 K. 5,7 L. 7,12 M. 7,12,6 N. 7,5,12 O. 12,3 P. 12,5,7 Q. 3,7 R. 5,6 S. 5,12 T. 5,12,7 U. 7,6 The mean of the sampling distribution is . Choose the correct comparison of the population and sampling distribution below. A. The means are not equal and the standard deviation of the sampling distribution is smaller. B. The means and standard deviation are equal. C. The means are equal but the standard deviation of the sampling distribution is smaller. D. The means are equal but the standard deviation of the sampling distribution is larger. E. The means are not equal and the standard deviation of the sampling distribution is larger.

Explanation / Answer

mean of population =(5+12+7)/3=8

std deviation of population =2.94

correct option: A,B.D,I,J,K,L,R,S

mean of sampling distribution=8

std deviation of sampling dist =2.08

option A is correct

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