[This problem is taken from Montgomery, Runger, and Hubele (2007).] The amount of time that acustomer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes andstandard deviation 1.5 minutes. Suppose that a random sample of size 49 customers is observed. Findthe probability that the average time waiting in line for these customers is (a) less than 8 minutes;(b) between 8 and 9 minutes; (c) less than 7.5 minutes.

The following information has been given: The population mean is μ=8.2. The standard deviation is…

Answered: [This problem is taken from Montgomery,…

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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QUESTION 21 Employees in a company experience distractions (phone calls, emails, unscheduled visits etc.) during their office hours. Given that the distraction times are right skewed with a mean of 95 minutes and a standard deviation of 18 minutes. What is the probability that for a random sample of 36 employees their mean distraction time is more than 100 minutes? 0.0478 0.0004 0.3906 0.9772
3. 3c. A. B. Women have head circumferences that are normally distributed with a mean of 23.55 inches and a standard deviation of 0.93 inches. If the HATS BY CHARLIE company produced hats so that they fit head circumferences between 22.2 inches and 24.2 inches, then what is the probability that a woman can fit into these hats? A. If the HATS BY CHARLIE company produced hats so that they fit head circumferences between 22.2 inches and 24.2 inches, then what is the probability that a randomly selected group of 40 woman can fit into these hats? B. Write a sentence or two that explains your answer to 3B and why you think that answer is correct in connection to your answer in 3A.
If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) ?=4,?=0.2?=?2= ?= (b) ?=5,?=0.9?= ?2=?=
2. Manufacturer A's television picture tubes have a mean lifespan of 7.13 years and a standard deviation of 0.8 years; while those of manufacturer B have a mean duration of 6.36 years and a standard deviation of 0.33 years. What is the probability that a random sample of 40 kinescopes from manufacturer A will have a mean lifespan that is 1 year longer than the mean lifespan in a sample of 45 kinescopes from manufacturer B? Round your answer to four decimal places after the period. Select one: a. The probability is 0.0469 b. The probability is 0.0464 c. None of the above d. The probability is 0.0455
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QUESTION 26 Employees in a company experience distractions (phone calls, emails, unscheduled visits etc.) during their office hours. Given that the distraction times are right skewed with a mean of 95 minutes and a standard deviation of 18 minutes. What is the probability that for a random sample of 36 employees their mean distraction time is more than 100 minutes? 0.0004 0.0478 0.3906 0.9772
Answer a, b, & c.
From long-term observation, it is known that the waiting-time for non-ambulance adult arrivals in a hospital's A&E has a mean of 120 minutes and a standard deviation of 50 minutes. On a given day, there are 200 such arrivals. What is the probability that the daily mean waiting time for arrivals exceeds 125 minutes? O 0.5398 O 0.9214 0.0786 O 0.4602
3. The amount of time it takes a TELNOR cashier to serve customers in service by car is a normally distributed random variable, with mean 3.2 minutes and standard deviation 1.6 minutes. Given a random sample of 64 customers served in a day, find the probability that the average time spent serving these customers is: (a) less than 2.7 minutes b) more than 3.5 minutes c) at least 3.0 minutes, but less than 3.4 minutes.
The U.S. Fish and Wildlife Service reported that the lengths of six-year-old rainbow trout in the Arolik River in Alaska are normally distributed with a mean of 481 millimeters and standard deviation of 41 millimeters. If a six-year-old rainbow trout from the Arolik River is selected at random, what is the probability it's length is more than 500 millimeters? Question 5 options: 0.1588 0.3215 0.4576 0.6785
1. The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.1 years and a standard deviation of 0.6 years. He then randomly selects records on 11 laptops sold in the past. Round the answers of following questions to 4 decimal places. For 11 laptops, find the probability that the average replacement time is more than 2.9 year. 2. The average number of miles (in thousands) that a car's tire will function before needing replacement is 70 and the standard deviation is 12. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. 2.For the 15 tires tested, find the probability that the average miles (in thousands) before the need for replacement is between 68.6 and 71.5 3. Business Weekly conducted a…

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