1. Use the random decimal fraction generator at Random.org, linkedhere, to generate a list of fractions with four decimal places. Assume those decimal fractions represent probability values associated withz-scores. Then use the standard normal table to look up thez-score that is closest to matching with that probability. List them below.

Here is the random generated decimal fraction.

0.3580

0.8237

0.4653

1. probability value (generated fraction) =

2.associatedz-score =

3.probability value (generated fraction) =

4.associatedz-score =

5.probability value (generated fraction) =

6.associatedz-score

3of5

What does the z-score of the data set median just above tell you about the shape of the distribution? How do you know this?

Question

4of5

If you were to take repeated random samples of n = 5 from the data set just above, what would be the expected value of the mean of the sampling distribution of sample means?

Question

5of5

Considering the set of ten two-digit random numbers above as a population, calculate the standard error of the mean for the samples in question 4.