Question: For the standard normal distribution, Z , find the proportion (percentage) of observations that satisfies each of the following statements. In each case, use a

For the standard normal distribution, Z, find the proportion (percentage) of observations that satisfies each of the following statements. In each case, use a graph of the Normal curve and shade the area under the curve that is the answer to the question.

Values of z larger than 2.33.
Between z = 1.50 and z = 1.18.
Values of z less than 1.19.

2. A set of final grades in an introductory statistics course was found to be normally distributed with a mean of 77 and a standard deviation of 8. For each of the following produce a normal distribution plot showing the appropriate shaded area.

What percentage of students scored lower than 70 on this exam?
What percentage of students scored between 81 and 89?
What percentage of students scored higher than 90 on this exam?
What is the 80th percentile of scores?
What is the 95th percentile of scores?

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