A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 2 weeks. Suppose you would like to select a random sample of 13 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. he distabution b. What is the distribution of cl a c. What is the probability that one randomly selected individual found the next job is less than 24 weeks? d. For 13 unemployed individuals, find the probability that the average time that they found the next job is less than 24 weeks. e. For part d), is the assumption of normal necessary? O NoO Yes

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that the length of unemployment is normally distributed with population mean of 25 weeks and the population standard deviation of 2 weeks. Suppose you would like to select a random sample of 13 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. he distabution b. What is the distribution of cl a c. What is the probability that one randomly selected individual found the next job is less than 24 weeks? d. For 13 unemployed individuals, find the probability that the average time that they found the next job is less than 24 weeks. e. For part d), is the assumption of normal necessary? O NoO Yes

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 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.
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Suppose that the heights of adult men in the United States are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. What proportion of adult men in the United States is at least 6 feet tall? (Hint 6 feet=72 inches.) Round answer to at least 4 decimal places.
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The weights for newborn babies is approx normally distributed with a mean of 6.1 pounds and a standard deviation of 1.8 pounds. use the cumulative Z-score table to answer the following questions. Write your answers rounded to the nearest whole number. consider a group of 1700 newborn babies: How many would you expect to weigh between 7.36 and 8.62 pounds? How many would you expect to weigh less than 3.76 pounds? How many would you expect to weight more than 5.65 pounds? How many would you expect to weight between 6.1 and 7 pounds?
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that the length of unemployment is normally distributed with population mean of 30 weeks and the population standard deviation of 7 weeks. Suppose you would like to select a random sample of 36 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N( 30 b. What is the distribution of ? N( 30 c. What is the probability that one randomly selected individual found the next job is less than 31 weeks? 7 or or d. For 36 unemployed individuals, find the probability that the average time that they found the next job is less than 31 weeks. e. For part d), is the assumption of normal necessary? Yes No o
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A Moving to another question will save this response. Question 1 Consider a sample with a mean of 30 and a standard deviation of 2.5. Use Chebyshev's theorem to determine the percentage of the data within the ranges from 23 to 37. O a. 61% O b. 75% O c. 87% Od. 83%
The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?