**Business Weekly conducted a survey of graduates from several top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $182,000. Assume the standard deviation is $35,000. Suppose you take a simple random sample of 16 graduates. Round all answers to four decimal places if necessary.**- **What is the standard deviation of distribution of $X$?** [Input box]- **What is the standard deviation of $\bar{X}$?** [Input box]- **For a single randomly selected graduate, find the probability that her salary is between $182,875 and $190,850.** [Input box]- **For a simple random sample of 16 graduates, find the probability that the average salary is between $182,875 and $190,850.** [Input box]- **For part d), is the assumption of normal necessary?** - [ ] Yes - [ ] No

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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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MCAT scores are normally distributed with an average score of 500.5 and a standard deviation of 10.5. Calculate the probability you get a score higher than 521.5 if you take the exam. (Write as a whole number)
Business Weekly conducted a survey of graduates from several top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $160,000. Assume the standard deviation is $37,000. Suppose you take a simple random sample of 22 graduates. Round all answers to four decimal places if necessary. What is the standard deviation of distribution of X? What is the standard deviation of X? For a single randomly selected graduate, find the probability that her salary is between $158,767 and $164,711. For a simple random sample of 22 graduates, find the probability that the average salary is between $158,767 and $164,711. For part d), is the assumption of normal necessary? O YesO No
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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $133,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 22 graduates. Round all answers to four decimal places if necessary. For a single randomly selected graduate, find the probability that her salary is between $136,209 and $142,906. For a simple random sample of 22 graduates, find the probability that the average salary is between $136,209 and $142,906. For part 2), is the assumption of normal necessary? No Yes
Business Weekly conducted a survey of graduates from several top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $185,000. Assume the standard deviation is $40,000. Suppose you take a simple random sample of 22 graduates. Round all answers to four decimal places if necessary. What is the standard deviation of distribution of X? 185,000 • What is the standard deviation of X? 40,000 • For a single randomly selected graduate, find the probability that her salary is between $175,608 and $186,672. 0.1070 • For a simple random sample of 22 graduates, find the probability that the average salary is between $175,608 and $186,672. 0.0912 For part d), is the assumption of normal necessary? O NoO Yes
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