Sampling Distribution

Complete solutions and illustrations are required.
1.The average annual salary for all U.S. teachers is $29,863. Assume that the distribution is normal and the standard deviation is $5,200.
a.Find the probability that a randomly selected teacher earns at least $35,000 a year.
b.What is the probability that the mean for a sample of 80 teachers’ salaries is greater than $30,000?

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