Business Weekly conducted a survey of graduatesfrom 30 top MBA programs. On the basis of thesurvey, assume the mean annual salary forgraduates 10 years after graduation is $167,000.Assume the standard deviation is $34,000.Suppose you take a simple random sample of 13graduates. Round all answers to four decimalplaces if necessary.a. What is the distribution of X? X ~ N(b. What is the distribution of x? ~ N(c. For a single randomly selected graduate,find the probability that her salary isbetween $162,555 and $175,070.d. For a simple random sample of 13graduates, find the probability that theaverage salary is between $162,555 and$175,070.e. For part d), is the assumption of normalnecessary? OYesONo

Determine the distribution of the random variable X follows. The distribution of the random variable…

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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Private nonprofit four-year colleges charge, on average, $26,521 per year in tuition and fees. The standard deviation is $7,011. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,703 per year. c. Find the 70th percentile for this distribution. $ (Round to the nearest dollar.)
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 $158,000. Assume the standard deviation is $38,000. Suppose you take a simple random sample of 14 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 15800(v, 38000 b. What is the distribution of x? a - N( 15800( 10155.9271 v) o c. For a single randomly selected graduate, find the probability that her salary is between $145,066 and $154,144. 0.0933 d. For a simple random sample of 14 graduates, find the probability that the average salary is between $145,066 and $154,144. 0.2537 e. For part d), is the assumption of normal necessary? O YesO No o
Isabella's points per game of bowling are normally distributed with a standard deviation of 8 points. If Isabella scores 148 points, and the z-score of this value is 3, then what is her mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 150 points, you would enter 150. Provide your answer below:
please answer b and e
please note this is all one problem.
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 $178,000. Assume the standard deviation is $39,000. Suppose you take a simple random sample of 36 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of I? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $173,350 and $181,100. d. For a simple random sample of 36 graduates, find the probability that the average salary is between $173,350 and $181,100. e. For part d), is the assumption of normal necessary? O NoO Yes o
Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
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 $181,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 39 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N b. What is the distribution of a? - NO c. For a single randomly selected graduate, find the probability that her salary is between $180,714 and $188,276. d. For a simple random sample of 39 graduates, find the probability that the average salary is between $180,714 and $188,276. e. For part d), is the assumption of normal necessary? O No Yes Question Help: Message instructor Submit Question
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
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
Private nonprofit four-year colleges charge, on average, $26,168 per year in tuition and fees. The standard deviation is $6,656. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,347 per year. c. Find the 74th percentile for this distribution. $ (Round to the nearest dollar.)
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 $178,000. Assume the standard deviation is $39,000. Suppose you take a simple random sample of 36 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 178000 39000 b. What is the distribution of ? T - N( 178000 c. For a single randomly selected graduate, find the probability that her salary is between $173,350 and $181,100. 0.0791 6500 d. For a simple random sample of 36 graduates, find the probability that the average salary is between $173,350 and $181,100. e. For part d), is the assumption of normal necessary? NoO Yes o

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