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.)

b-1. 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 and the mean of the sample means.

The population mean is ____

The mean of the first row ____

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 _____

b-2. Compute the mean and standard deviation of the sample means. Compare the values to the population mean and standard deviation.

1. The mean of the means is_________. It_______close to the population mean.
2. The standard deviation of the standard error is_______ It is much______than the population standard deviation.

Answer two extra credit questions:

1. The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 150 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

a. 0.9586

b. 0.0947

c. 0.0121

d. 0.9164

1. The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of '15'. What is the probability we could select a sample of 90 adults and find the mean of this sample is less than 95?

Multiple Choice

a. 0.9710

b. 0.4992

c. 0.9984

d. 0.0008