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.)

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

Population mean
Population Standard Deviation

b) 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.

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

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

c) 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		. It		close to the population mean
The standard deviation of the sample means is		. It is much		than the population standard deviation

Answer 1

Since , For Uniform distribution----

Since values are----{0,1,2,3,4,5,6,7,8,9}

Then, Population mean=

Population Standard deviation

Since, I Have used excel to find the mean of the sample and mean of the sample mean and standard deviation of the sample means----

The output is---

The commands Used are----

c) Comparison---

mean of sample mean = 4.94, it is close to Population mean= 4.5

standard deviation of sample means= 0.96, it is much lower than Population Standard Deviation = 2.59