24. The average annual professor's salary is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the salaries for an associate professor are normally distributed with a standard deviation of $8900. a.) What is the probability that a randomly selected associate professor's salary is more than the average assistant professor's salary? b.) What is the probability that a randomly selected associate professor's salary is less than $147,702? c.) What is the probability that a randomly selected associate professor's salary is between $150,000 and $175,000. d.) Suppose a sample of 16 associate professor's salary are selected. What is the probability that the average associate professor's salary will exceed the average assistant professor's salary?

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24. The average annual professor's salary is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the salaries for an associate professor are normally distributed with a standard deviation of $8900. a.) What is the probability that a randomly selected associate professor's salary is more than the average assistant professor's salary? b.) What is the probability that a randomly selected associate professor's salary is less than $147,7027 c.) What is the probability that a randomly selected associate professor's salary is between $150,000 and $175,000. d.) Suppose a sample of 16 associate professor's salary are selected. What is the probability that the average associate professor's salary will exceed the average assistant professor's salary?
24. The average annual professor's salary is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the salaries for an associate professor are normally distributed with a standard deviation of $8,900.

a.) What is the probability that a randomly selected associate professor's salary is more than the average assistant professor's salary?

b.) What is the probability that a randomly selected associate professor's salary is less than $147,702?

c.) What is the probability that a randomly selected associate professor's salary is between $150,000 and $175,000?

d.) Suppose a sample of 16 associate professors' salaries are selected. What is the probability that the average associate professor's salary will exceed the average assistant professor's salary?
Transcribed Image Text:24. The average annual professor's salary is $159,964 for an assistant professor and $147,702 for an associate professor. Assume that the salaries for an associate professor are normally distributed with a standard deviation of $8,900. a.) What is the probability that a randomly selected associate professor's salary is more than the average assistant professor's salary? b.) What is the probability that a randomly selected associate professor's salary is less than $147,702? c.) What is the probability that a randomly selected associate professor's salary is between $150,000 and $175,000? d.) Suppose a sample of 16 associate professors' salaries are selected. What is the probability that the average associate professor's salary will exceed the average assistant professor's salary?
Expert Solution
Step 1: Information given is

Mean(straight mu) of associate professor=147707

standard deviation(straight sigma) of associate professor=8900

The average annual professor's salary is $159,964 for an assistant professor

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