A leading magazine (like Barron's) reported at one time that the average number of weeks an individual isunemployed is 25 weeks. Assume that the length of unemployment is normally distributed with populationmean of 25 weeks and the population standard deviation of 2 weeks. Suppose you would like to select arandom sample of 18 unemployed individuals for a follow-up study. Round the answers of followingquestions to 4 decimal places.a. What is the distribution of X? X - N 25b. What is the distribution of ? ~ N 2525X) 0 25c. What is the probability that one randomly selected individual found the next job is more than 26weeks?✓ 2or ord. For 18 unemployed individuals, find the probability that the average time that they found the nextjob is more than 26 weeks.e. For part d), is the assumption of normal necessary? O No Yes

Assume that the length of unemployment is normally distributed with population mean of 25 weeks and…

Answered: A leading magazine (like Barron's)…

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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The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. If the mean score was ? = 152 with standard deviation ? = 21, what was the final exam score for each student? (Round your answers to the nearest whole number.) Robert _______ Juan __________ Haley ________ Joel ________ Jan ________ Linda _________
The average amount that people spend on take-out on Fridays is $67, and the standard deviation is $13. Assume that the distribution of money spent on take-out is normal, and suppose that the amount spent by 69 randomly selected people are recorded. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of x? a N( c. For the sample of 69 people, find the probability that the average amount spent is between $66 and $70. > Next Question P Type here to search 立

Assume that the heights of women are normally distributed with a mean of 63 inches and a standard deviation of 1.4 inches. Find Qa, the third quartile that separates the bottom 75% from the top 25%. Click to view page 1 of the table. Click to view page 2 of the table. O A. 62.1 B. 63.9 O C. 64.6 O D. 64.8
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. How to get and what is the bone density score corresponding to P15 is ?
Scores on the Wechsler Adult Intelligence Scale for the 2020 to 3434 age group are approximately Normally distributed with a mean of 110 and a standard deviation of 15. How high must a person score to be in the top 5%5% of all scores? Enter your answer as a whole number.
Exhibit 6-5The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. Refer to Exhibit 6-5. What percentage of items will weigh between 6.4 and 8.9 ounces?
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P9, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%. Which graph represents P9? Choose the correct graph below.
The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The indicated IQ score, x, is (Round to one decimal place as needed.)
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

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