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 $172,000. Assume the standarddeviation is $44,000. Suppose you take a simple random sample of 12 graduates. Round all answers to fourdecimal places if necessary.a. What is the distribution of X? X - N(b. What is the distribution of T? T - N(c. For a single randomly selected graduate, find the probability that her salary is between $159,647 and$167,698.d. For a simple random sample of 12 graduates, find the probability that the average salary is between$159,647 and $167,698.e. For part d), is the assumption of normal necessary? O YesO No

As per our guidelines we are suppose to answer only three subpartsGivenMean(μ)=172000standard…

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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Scores on an aptitude test are normally distributed with a mean of 960 and standard deviation of 120. Use the Cumulative Z-Score Table to answer the following questions. Write your answer rounded to the nearest whole number. If 1,570,000 students take the test.. how many would you expect to score above 1224? students ...how many would you expect to score above 972? students ...how many would you expect to score between 972 and 1224? students
Using technology, find the range and standard deviation, round to one decimals place:The table below gives the number of hours spent watching TV last week by a sample of 24 children. 20 39 34 29 48 84 64 25 75 89 40 57 82 43 62 52 49 59 38 87 49 66 95 17 Range = 78 Standard Deviation = 22.6
A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $271,000. Assume that the standard deviation of the prices is $100,000. Complete parts (a) through (d) below. (a) If you select samples of n=2, describe the shape of the sampling distribution of X. Choose the correct answer below. A. The sampling distribution will be approximately normal. B. The sampling distribution will depend on the specific sample and will not have a constant shape. C. The sampling distribution is skewed to the right, but less skewed to the right than the population. D. The sampling distribution will be approximately uniform. (b) If you select samples of n=100, describe the shape of the sampling distribution of X. Choose the correct answer below. A. The sampling distribution will depend on the specific sample and will not have a constant shape. B. The sampling…
The average income in a state was $64 comma 64,000 per person per year. Suppose the standard deviation is $29 comma 29,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the state. Complete parts (a) and (b) below. a. What value should we expect for the sample mean? Why? b. What is the standard error for the sample mean?
On average, accountants earn approximately an average of $6500 per year in the United States. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is $8680. Given a sample of 64 electricians, what is the standard deviation for the sampling distribution of the sample mean? a. 1205 b. 8680 c. 6000 d. 1085
The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The monthly rents for studio apartments in a certain city have a mean of $1,040 and a standard deviation of $200. Random samples of size 60 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. OA. $134.26, $200.00 ry OB. $134.26, $25.82 OC. $1,040.00, $3.33 ns OD. $1,040.00, $25.82 15 2 4+ to 144 A41 Insert prt so → ( P 2 @ 2 W S X 3 E D 14101 $ C 4 R F % 5 T 40 6 G V B Y 4- & H 7 U N 00 8 J 1 M 9 K ► 11 ) O O L { alt + [ ? = 1 1 backs
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