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 standarddeviation is $39,000. Suppose you take a simple random sample of 36 graduates. Round all answers to fourdecimal 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

As per our guidelines we are suppose to answer only three subpartsMean(μ)=178000standard…

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, $27,088 per year in tuition and fees. The standard deviation is $7,205. 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 26,156 per year. c. Find the 60th percentile for this distribution. S (Round to the nearest dollar.)
The avg. production…
Complete the table and answer the question. a. What is mean of the probability distribution? b. What is variance of the probability distribution? c. What is standard deviation of the probability distribution?
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results are given in the frequency distribution: Aptitude Score 0 1 2 3 4 5 Frequency 1 6 4 1 5 2 Calculate the sample standard deviation of this data. Answer using two decimal places.
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 $132,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 37 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 - N c. For a single randomly selected graduate, find the probability that her salary is between $129,255 and $133,703. d. For a simple random sample of 37 graduates, find the probability that the average salary is between $129,255 and $133,703. e. For part d), is the assumption of normal necessary? O YesO No
M2
Joey and Dee Dee bowled five games at the Rock 'n' Bowl Lanes. Their scores are given in the following table. Joey 143 170 219 157 146 Dee Dee 183 166 188 143 160 (a) Find the mean score of each bowler. (Round the answer to one decimal place.) Joey X = Dee Dee x = (b) Find the standard deviation of each bowler's scores. (Round the answer to one decimal place.) Joey S = Dee Dee s =
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 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $132,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 37 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 132000 31000 b. What is the distribution of ? T - N( 132000 c. For a single randomly selected graduate, find the probability that her salary is between $129,255 and $133,703. 0.0558 d. For a simple random sample of 37 graduates, find the probability that the average salary is between 5096.3686 $129,255 and $133,703. e. For part d), is the assumption of normal necessary? YesO No o
Is the difference between the mean annual salaries of registered nurses in State A and State B equal to $10,500? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown. Assume the population standard deviations are o, = $8337 and o, = $7633. At a = 0.01, what can you conclude? Registered Nurses in State A Registered Nurses in State B 75,695 70,695 %3D %3D X1 X2 n1 30 n2 25 What are the null and alternative hypotheses for this test? A. Ho: H1 - H22 10,500 Ha: H1 - H2 10,500 Ha: H1 - H2s 10,500 O F. Ho: H1 - H2 S 10,500 Hai H1 - H2 > 10,500 Determine the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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
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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