Question

3. The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8 cm.

a. Find the probability that an individual distance is greater than 209.30 cm.

b. Find the probability that the mean for 25 randomly selected distances is greater than 197.80 cm.197.80 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

4. Assume that​ women's heights are normally distributed with a mean given by μ=64.4 in​, and a standard deviation given by σ=2.2 in. Complete parts a and b.

a. If 1 woman is randomly​ selected, find the probability that her height is between 63.7 in and 64.7 in.

The probability is approximately _____

​(Round to four decimal places as​ needed.)

b. If 20 women are randomly​ selected, find the probability that they have a mean height between 63.7 in and 64.7 in.

The probability is approximately ____

​(Round to four decimal places as​ needed.)

Answer 1