Exam 7: Normal Curves and Sampling Distributions

Assuming that the heights of college women are normally distributed with mean 63 inches and standard deviation 1.5 inches, what percentage of women are between 58.5 inches and 64.5 inches?

Assuming that the heights of college women are normally distributed with mean 66 inches and standard deviation 2 inches, what percentage of women are shorter than 72 inches?

Give an example of a population.

Find the area under the standard normal curve over the interval specified below. Between z = -2 and 1

Suppose that more than a decade ago high levels of lead in the blood put 78% of children at risk. A concerted effort was made to remove lead from the environment. Suppose, according to a survey, only 6% of children in the United States are at risk of high blood-lead levels. In a random sample of 150 children taken more than a decade ago, what is the probability that 105 or more had high blood-lead levels?

Let z be a random variable with a standard normal distribution. Find the indicated probability below. P(z $\le$ -1.6)