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 $147,7027c.) 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 associateprofessor. 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 averageassistant 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 averageassociate professor's salary will exceed the average assistant professor's salary?

Mean() of associate professor=147707standard deviation() of associate professor=8900The average…

Answered: 24. The average annual professor's…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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