1 of5

Use the random decimal fraction generator at Random.org, linked here, to generate a list of three fractions with four decimal places. Assume those decimal fractions represent probability values associated with z-scores. Then use the standard normal table to look up the z-score that is closest to matching with that probability. List them below. (3 points)

1. probability value (generated fraction) =
2. associated z-score =
3. probability value (generated fraction) =
4. associated z-score =
5. probability value (generated fraction) =
6. associated z-score =

2 of5

Describe the relationship between a normal distribution of data and a standard normal distribution based on the same data. What are the key similarities and differences? (3 points)

3 of5

Why do researchers convert distributions of data to standard scores? Why and how is this useful to researchers? (3 points)

4 of5

Assume a data set has = 450 and = 50. If you were to take repeated random samples of n = 16 from that data set, what would be the expected value of the mean of the sampling distribution of the sample means? (3 points)

5 of5

Andy took a physics test and scored a 35. The class average was 26 and the standard deviation was 5. Trevor took a chemistry test and scored an 82. The class average was 70 and the standard deviation was 8. Who performed better? What is the rationale for your answer, i.e., how do you know this? (3 points)