Question

1. Assume you have observations of y for an entire population. The distribution of y is normally distributed with a mean of 30 and a standard deviation of 5 (i.e. μ = 30 and σ = 5).

1. Draw a picture of the normal distribution of y.   Label the x-axis with the following values of y: 20, 25, 30, 35, 40.   

2. Use the empirical rule to determine the following percentages. Hint: drawing a normal distribution for each will be helpful.

1. What percent of the observations are greater than y = 30?

2. What percent of the observations are less than y = 30?

3. What percent of the observations are greater than y = 35?

4. What percent of observations are less than y = 25?

5. What percent of the observations are less than y = 35?

6. What percent of the observations are less than y = 40?

7. What percent of the observations are between 25 and 40?

8. What percent of the observations between 20 and 40?

9. What percent of the observations are greater than 400?

Answer 1