Assume that for the population of all unemployed individuals in Minnesota, the population mean length of unemployment is 19 weeks and that the population standard deviation is 2 weeks. Suppose you would like to select a random sample of 96 unemployed individuals for a follow-up study.Find the probability that the mean of this sample of size is more than 19.4.Round your answer to at least three decimals.[ Blank answer box ]

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Answered: Assume that for the population of all…

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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Suppose that the number of Facebook friends users have is normally distributed with a mean of 127 and a standard deviation of about 59. Assume twelve individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. 1. For the group of 12, find the probability that the average number of friends is more than 122. 2. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places.
A normal population had a mean of 70 and a standard deviation of 12. You select a random sample of 9. What is the probability that the sample mean is less than 66?
Suppose a claim is made that the mean age of members of a golf club is 52 years. The population standard deviation is 6 years. Evaluate this claim if a random sample of 50 members has a mean age of 56 years. Is there a way to get answer on excel?
The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal? Do not write probability in terms of percentage. Round your answer to two decimal places.
The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. ..... a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before days are considered premature. (Round to the nearest integer as needed.)
Suppose that heights of women in Utah are normally distributed with a mean of 74 inches and a standard deviation of 3.4 inches. Find the probability that a randomly chosen woman is between 62 and 68 inches tall. Find the probability that a randomly chosen woman is taller than 80 inches tall. Find the 95th percentile. inches
Given a normal population whose mean is 50 and whose standard deviation is 5. Find the probability that a random sample of 4 has a mean between 49 and 52. Find the probability that a random sample of 16 has a mean between 49 and 52. Find the probability that a random sample of 25 has a mean between 49 and 52.
A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons. If 39 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 0.5 gallons? Round your answer to four decimal places.
Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have BLUE eyes. Three randomly selected Americans are selected and examined for eye color. If you let success correspond to an American having BLUE eyes, calculate the following. Calculate the standard deviation.
Suppose that the mean IQ in the United States is roughly100 and the standard deviation is 15 points. People withIQs of 145 or higher are considered “geniuses” on somescales of measurement. What percentage of the population is expected to have an IQ of 145 or higher? In a country with 300 million people, how many geniuses arethere expected to be?
The IQ of highschool seniors is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a sample of 15 students will have a sample mean less than 99. Give your answer to three decimal places and write as a proportion (i.e. between 0 and 1).
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