**Probability of Salaries of MBA Graduates****Overview:**A study was conducted by Business Weekly to assess the salaries of graduates from 30 top MBA programs. Based on the survey, the following data was obtained:- Mean annual salary for graduates 10 years post-graduation: $183,000- Standard deviation: $34,000A random sample of 65 graduates has been considered for this analysis.**Questions:**1. **Probability of a Single Graduate's Salary:** Determine the probability that a single randomly selected graduate's salary is less than $186,000. **Provide your answer:** - Answer = [Input box]2. **Probability of the Mean Salary of a Sample:** Find the probability that the mean salary of a sample size of $ n = 65 $ is less than $186,000. **Provide your answer:** - Answer = [Input box]**Instructions:**Enter your responses with numbers accurate to four decimal places.[Submit Question Button] ---**Additional Information:**- Ensure calculations are based on the given mean and standard deviation.- Use statistical formulas and tables where necessary for precise results.

given data μ=183000σ=34000n=65here sample size n≥30as per CLT we can say that distribution is…

Answered: Business Weekly conducted a survey of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 73% with a standard deviation of 12% on their final exams. His afternoon classes average 79% with a standard deviation of 11%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of the applicants would you expect to have a score of 350 or above?
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The entire student body of 225 students took a test. These test scores have a mean of 75, a standard deviation of 10, and are slightly positively skewed. If you randomly chose 25 of these test scores and calculated the mean over and over again, what could be the mean, standard deviation, and skew of this distribution? Mean = 75, SD = 10, Skew = 1.2 Mean = 75, SD = 0.67, Skew = 0.8 Mean = 80, SD = 2, Skew = -1.2 Mean = 75, SD = 2, Skew = about 0 Mean = 75, SD = 0.67, Skew = about 0
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A mathematics professor one to determine whether there is a different in the final average just between the past two semester (semester 1 and semester 2) of his business is statistics classes. For a random sample of 16 students from semester 1, the mean of the final averages was 75 with a standard deviation of 4. For a random sample of 9 students from semester 2, the mean was 73 with a standard deviation of 6. Choose the correct answer
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