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Assume you have observations of y for an entire population. The distribution of y is normally...

  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.   
  1. 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?
  1. What percent of the observations are less than y = 30?
  1. What percent of the observations are greater than y = 35?

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

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

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

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

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

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