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Assume that the sample is taken from a large
Chapter 6, Problem 10E(choose chapter or problem)
Problem 10E
Assume that the sample is taken from a large population and the eorrection factor can be ignored.
Teachers’ Salaries in ConnecticutThe 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?
b.If we sample 100 teachers’ salaries, what is the probability that the sample mean is less than 556,000?
Questions & Answers
QUESTION:
Problem 10E
Assume that the sample is taken from a large population and the eorrection factor can be ignored.
Teachers’ Salaries in ConnecticutThe 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?
b.If we sample 100 teachers’ salaries, what is the probability that the sample mean is less than 556,000?
ANSWER:
Solution:
Step 1 of 3:
The average teacher’s salary in Connecticut is $57,337.
It follows the normal distribution with = $7500.
We have to find the following probabilities.
- The probability that a randomly selected teacher’s salary is less than $52,000 per year.
- The probability that the sample mean is less than $56,000, for a sample of 100.