1-Tall Clubs- The social organization Tall Clubs International has a requirement that women must be at least 70 in. tall. Assume that women have normally distributed heights with a mean of 63.7 in. and a standard deviation of 2.9 inc.

A- Find the percentage of women who satisfy the height requirement.

B- If the height requirement is to be changed so that the tallest 2.5% of women are eligible, what is the new height requirement?

2- Exacta- In a horse race, an exacta bet is won by correctly selecting the horse that finishes first and second, and they must be in the order that they finished. The 140th Kentucky Derby race was run with 19 horses. If you make random selections for an exacta bet, what is the probability of winning?

3-Disney Monorail- The Mark VI monorail used at Disney World has doors with a height of 72 inc. Heights of men are normally distributed with a mean of 68.6 in. and a standard A- What percentage of adult men can fit through the doors without bending/ Doe the door design with a height of 72 in. appear to be adequate? Explain

B- What doorway height would allow 99% of adult men to fit without bending?

4-Sampling Distributions - Scores on the Gilliam Autism Rating Scale (GARS) are normally distributed with a mean of 100 and a

standard deviation of 15. A sample of 64 GARS scores is randomly selected and the sample mean is computed.

A- Describe the distribution of such sample means?

B- What is the mean of all such sample mean?

C-What is the standard deviation of all such sample means?