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A worker in the automobile industry works an average of 43.7 hours per week. If the distribution is approximately normal with a standard deviation of 1.6 hours, what is the probability that a randomly selected automobile worker works less than 40 hours per week?

If samples of a specific size are selected from a population and the means are computed, what is this distribution of means called?

Explain why a normal distribution can be used as an approximation to a binomial distribution.

What are the characteristics of a normal distribution?

What conditions must be met to use the normal distribution to approximate the binomial distribution?

Why do most of the sample means differ somewhat from the population mean? What is this difference called?

The average annual salary for all U.S. teachers is \(\$ 47,750\). Assume that the distribution is normal and the standard deviation is \(\$ 5680 .\) Find the probability that a randomly selected teacher earns a. Between \(\$ 35,000\) and \(\$ 45,000\) a year b. More than \(\$ 40,000\) a year c. If you were applying for a teaching position and were offered \(\$ 31,000\) a year, how would you feel (based on this information)?

What is the total area under the standard normal distribution curve?

The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 52,145, find the probability that on a randomly selected day, the jail population is a. Greater than 750,000 b. Between 600,000 and 700,000

When is the normal distribution not a good approximation for the binomial distribution?