Question

Appendix B.4 is a table of random numbers that are uniformly distributed. Hence, each digit from 0 through (including) 9 has the same likelihood of occurrence. (Round your answers to 2 decimal places.)

1. Compute the population mean and standard deviation of the uniform distribution of random numbers.

2. Assume that 10 random samples of five values are selected from a table of random numbers. The results follow. Each row represents a random sample.
   

0	0	5	2	8
2	3	5	8	4
8	7	6	7	5
0	4	7	0	0
1	2	6	8	6
7	6	3	8	6
2	8	9	4	9
8	1	0	6	2
0	9	9	4	4
7	0	0	2	3

Compute the mean of each sample.

The population mean is
The mean of the first row is
The mean of the second row is
The mean of the third row is
The mean of the fourth row is
The mean of the fifth row is
The mean of the sixth row is
The mean of the seventh row is
The mean of the eighth row is
The mean of the ninth row is
The mean of the tenth row is
The mean of the sample means is

3. Compute the mean and standard deviation of the sample means. Compare the values to the population mean and standard deviation.

The mean of the means is	(answer here)	. It	(is/is not)	Close to the population mean
The standard dev. of sample means is	(answer here)	. it is much	(higher/smaller)	Than the population standard deviation.

Answer 1

The Mean of the means (4.42) is Close to the Population Mean (4.5)

The Standard Deviation of sample means (1.5452) is much smaller than the population standard deviation (2.5981).