Question

3. A survey found that women’s heights are normally distributed with a mean of 62.7 in. and standard deviation 2.7in. The survey also found that men’s heights are normally distributed with a mean 68.1 in and a standard deviation of 2.66 in. Complete parts (a) through (c) below.
Most of the life characters at an amusement park have height requirements with a minimum of 4ft 7 in. and a maximum of 6ft 3 in.
a) Find the percentage of women meeting the height requirements. Round to four decimal places.

b) Find the percentage of men that meet the requirements. Round to two decimal places.

c) If the height requirements are changed to exclude only the tallest 6% of men and the shortest 6% of women, that are the new height requirements? Round to one decimal place.

4. Assume that women’s heights are normally distributed with a mean given by     µ = 62.5 in, and a standard deviation given by σ = 2.2 in.

a) If 1 woman is randomly selected, find the probability that her height is less than 64 in. Round to four decimal places.

b) If 10 women are randomly selected, find the probability that they have a mean height less than 64 in. Round to four decimal places.

5 . Express the confidence interval 0.333 < p < 0.777 in the form

  = …….. ± ………

Answer 1

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