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Women's Heights

Assume for this question that college women's heights are approximately Normally distributed with a mean of 64.6 inches and a standard deviation of 2.6 inches. Draw a well-labeled Normal curve for each part.

a. Find the percentage of women who should have heights of 63.5 inches or less.

b. In a sample of 123 women, according to the probability obtained in part a, how many should have heights of 63.5 inches or less?

c. The table shows the frequencies of heights for a sample of women, collected by statistician Brian Joiner in his statistics class. Count the women who appear to have heights of 63 inches or less by looking at the table. They are in the oval.

d. Are the answers to parts b and c the same or different? Explain.

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