The average salary for Californiapublic school teachers in 2019-2020 was $84,531. Suppose itis
known that the true standard deviation for California teachersalaries during that time was $18,000. Use this
information to answer the following questions.

Question 1a: Suppose you knew that thedistribution of California teacher salaries was skewed right.
If you took a random sample of 40 California public schoolteachers, would you be able to utilize the Central
Limit Theorem for this scenario? Justify your answer.

Question 1b: Suppose you took a random sample of50 California public school teachers and
recorded their average salary. What is the probability that theiraverage salary is greater than $77,000? Round
your answer to 3 decimal places (i.e. if your answer was 0.54321then you would write 0.543)

Question 1c: Suppose you took a random sampleof 50 California public school teachers and
recorded their average salary. What is the probability that theiraverage salary falls between $60,000 and
$80,000? Round your answer to 3 decimal places (i.e. if your answerwas 0.54321 then you would write 0.543)

Question 1d: Suppose you took a random sample of50 California public school teachers and
recorded their average salary. What is the probability that theiraverage salary is no more than $85,000?
Round your answer to 3 decimal places (i.e. if your answer was0.54321 then you would write 0.543)

Question 1e: Suppose you took a random sample of50 California public school teachers and
recorded their average salary. What is the probability that theiraverage salary is either less than $82,000 or
greater than $85,000? Round your answer to 3 decimal places (i.e.if your answer was 0.54321 then you would
write 0.543)