To estimate the mean age for a population of 4000 employees, a simple randomsample of 40 employees is selected. If the population standard deviation is 8.2 years,what is the probability that the sample mean age of the employees will be within ±2years of the population mean age?a) 0.666b) 0.976c) 0.876d) 0.776e) None of the answers are correct The number of pages produced by a fax machine in a busy office is normallydistributed with a mean of 275 and a standard deviation of 75.Determine the probability that in 1 week (5 days) more than 1,500 faxes will bereceived?a) 0.576b) 0.876c) 0.976d) 0.776e) None of the answers are correct

Answered: Image /qna-images/answer/c7f696af-7a47-40b3-b937-2b2c3bb16012.jpg

Answered: To estimate the mean age for a…

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 speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 78 and 81 mph. d. 60% of all cars travel at least how fast on the freeway? mph.
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,360. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.a. Find the probability that a randomly selected acre in the forest has fewer than 39,689 ants. b. Find the probability that a randomly selected acre has between 43,391 and 54,397 ants. c. Find the first quartile. ants (round your answer to a whole number)
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
Suppose a random sample of n = 350 teenagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 280 stated that they do use social media. Find the sample proportion of teenagers 13 to 17 years of age who use social media. The sample proportion is p= (Round to three decimal places as needed.) ...
Answer the following questions based on these scores: A sample consists of the following n = 6 scores: -2, 7, 6, 4, 1, 3 A) What is the mean? M = B) What is the standard deviation? s = C) What is the Z-score for the raw score of 6? Z =
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
. A division-wide aptitude test in Mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal population.a. What is [the minimum score to belong to the upper 10% of the group?
Given a set of normally distributed scores with the mean of 20.00 and SD of 5.00, what proportion of scores are a) between 10 and 28 b) between 15 and 32
A normal population has a mean of of 60 and standard deviation of 12. A random sample of 9 is selected. The probability that sample mean is between 56 and 63 is: Select one: a.0.8715 b.0.6147 c.0.2734 d.0.1133 e.0.2266
Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. d. 84% of all cars travel at least how fast on the freeway? mph.

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