# Project #12114 - Ms. Roxie

*Please make sure to show your work whenever possible and show graphics if required by the problem.*

Basic Computation: Empirical Rule. What percentage of the area under the normal curve lies

(a) to the right of µ?

(b) between µ – 2σ and µ + 2σ?

(c) to the right of µ +3σ?

Distribution: Heights of Coeds. Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.5 inches (based on information from Statistical Abstract of the Unites States, 112th Edition), answer the following questions.

(a) What percentage of women are taller than 65 inches?

(b) What percentage of women are shorter than 65 inches?

(c) What percentage of women are between 62.5 inches and 67.5 inches?

(d) What percentage of women are between 60 inches and 70 inches?

Basic Computation: z Score and Raw Score. A normal distribution has µ = 30 and σ = 5.

(a) Find the z score corresponding to x = 25.

(b) Find the z score corresponding to x = 42.

(c) Find the raw score corresponding to z = - 2.

(d) Find the raw score corresponding to z = 1.3.

Statistical Literacy. Consider a normal distribution with a mean 30 and standard deviation 2. What is the probability a value selected at random from this distribution is greater than 30?

Statistical Literacy. Suppose 5% of the area under the standard normal curve lies to the left of z. Is z positive or negative?

 Subject Mathematics Due By (Pacific Time) 09/09/2013 12:00 pm
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