# Question: The average teacher s salary in Connecticut ranked first among states

The average teacher’s salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500.

a. What is the probability that a randomly selected teacher makes less than $52,000 per year? 0.2389

b. If we sample 100 teachers’ salaries, what is the probability that the sample mean is less than $56,000?

a. What is the probability that a randomly selected teacher makes less than $52,000 per year? 0.2389

b. If we sample 100 teachers’ salaries, what is the probability that the sample mean is less than $56,000?

## Answer to relevant Questions

The mean serum cholesterol level of a large population of overweight children is 220 milligrams per deciliter (mg/dl), and the standard deviation is 16.3 mg/dl. If a random sample of 35 overweight children is selected, find ...A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of ...The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. a. If a single egg is selected, find the probability ...Glass Garbage Generation Asurvey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the ...The average salary of a male full professor at a public four-year institution offering classes at the doctoral level is $99,685. For a female full professor at the same kind of institution, the salary is $90,330. If the ...Post your question