I need help figuring these problems out. Please show all work.

1) Assume 0.0514, 0.0767, and 0.5719 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.

1. probability value (generated fraction) = 0.0514
2. associatedz-score =
3. probability value (generated fraction) =0.0767
4. associatedz-score =
5. probability value (generated fraction) = 0.5719
6. associatedz-score =

2) Use another random decimal fraction generator at Random.org, linkedhere, to generate a list of ten two-digit random numbers between 10 and 30. Calculate the z-score of the median of the data set.

Data Set: 12, 13, 16, 19, 22, 23, 24, 25, 28, 29

3) 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?

4) 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?

5) 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.