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.
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.)
A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population. If the standard deviation of the ages of all individuals in the city is σ = 20, find the probability that the mean age of the individuals sampled is within 1.5 years of the mean age for all individuals in the city. Do not round your answer. Hints: Find the sampling distribution of the sample mean age and use the central limit theorem. You don’t have to know the population mean to answer this, but if it makes it easier, use a value such as μ=35.

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