Women's Stature:In an Anthropology 105 class, women's heights had a normal distribution with a mean of 163.4 cm anda standard deviation of 6.7 cm.

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1. Convert the average height of 163.4 cm to inches. (Rounded to one decimal place)

2. Convert the standard deviation of 6.7 cm to inches. (Rounded to one decimal place)

3. Label the heights in inches at the bottom of the normal curve above.

4. The middle 68% of women represented have a stature between what two heights?Give a range of heights (Round to one decimal place)

5. The middle 95% of women represented have a stature between what two heights?(Round to one decimal place)

6. Professional volleyball players are women who are at least 6 foot tall.What proportion of the population could even hope to be a professional volleyball player?Answer as a percent rounded to two decimal places.

7. About how many woman would be tall enough to play professional volleyball out of 100,000?Refer to problem 6.