leading magazine (like Barron's) reported at one time that the average number of weeks an individual isunemployed is 25 weeks. Assume that for the population of all unemployed individuals the population meanlength of unemployment is 25 weeks and that the population standard deviation is 7 weeks. Suppose youwould like to select a random sample of 39 unemployed individuals for a follow-up study.Find the probability that a single randomly selected value is less than 24.P(x < 24) =Find the probability that a sample of size n = 39 is randomly selected with a mean less than 24.P(x < 24) =Enter your answers as numbers accurate to 4 decimal places.

The mean is 25 and the standard deviation is 7.

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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A normally distributed population has a mean equal to 85 and a standard deviation equals 4.0. If a sample of size 49 is selected what is the probability that the sample mean will be less than 73 or greater than 97?
To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. A 95% confidence interval for the mean score of actuarial students in the special program is from ________ to ________. Question 17 options: 1) 3.52 to 8.47 2) 4.69 to 7.31 3) 4.66 to 7.34 4) 4.33 to 7.67
Suppose that in the population of all healthy humans, body temperature follows a normal distribution with mean 98.2 and standard deviation of 0.5. Suppose a random sample of 20 healthy humans is taken. Which sample mean body temperature would be higher than 40% of all sample me and Body temperatures?
Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 10. What is the probability of selecting someone from the general population at random who would
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Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random person has an IQ between 110 and 125?
The length of a ball pen is known to be normal with mean 5 inches with a standard deviation of 0.1 inch. Desiree bought one of such a ball pen. What is the probability that its length is between 4.85 inches to 5.10 inches? Solve and illustrate in the Normal curve.
A particular fruit's weights are normally distributed, with a mean of 453 grams and a standard deviation of 28 grams. If you pick 10 fruits at random, then 12% of the time, their mean weight will be greater than how many grams?
An Intelligence test score for adults is normally distributed with a mean of 100 and population standard deviation of 15. What is the probability we could select a sample of 64 adults and find that the mean of this sample is between 98 and 103? (answer rounded to 2d.ps)
The distribution of raw scores on a chemistry final is approximately normal with a mean of about 60 and a standard deviation of about 15. What is the probability that a student will have a raw score that is more than 50?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Suppose the mean income of firms in the industry for a year is 80 million dollars with a standard deviation of 55 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn more than 88 million dollars? Round your answer to four decimal places.

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