A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6inches, and standard deviation of 2.6 inches.If 37 items are chosen at random, what is the probability that their mean length is greater than 19.2inches?(Round answer to four decimal places)

Given Data Population Mean,μ = 19.6 Population Standard Deviation,σ = 2.6 sample…

Answered: A manufacturer knows that their items…

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 distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
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The cost of textbooks is normally distributed with a mean of $204. You do not know the population standard deviation, but you know the sample standard deviation to be $40.What is the probability that from a sample of 5 textbooks, their average cost will be less than $248? (Report answer accurate to three decimal places.)
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is u= girl(s). (Round to one decimal place as needed.) The standard deviation is o = e# girl(s). (Round to one decimal place as needed.) Table of numbers of girls and probabilities Number of Girls x 0 1 2 3 4 5 6 7 8 átv P(x) 0.004 0.034 0.117 0.218 0.278 0.217 0.102 0.027 0.003 D - X NiZ Next
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is u = girl(s). (Round to one decimal place as needed.) The standard deviation is o = girl(s). (Round to one decimal place as needed.)
The cost of textbooks is normally distributed with a mean of $239. You do not know the population standard deviation, but you estimate the sample standard deviation to be $47.What is the probability that from a sample of 7 textbooks, their average cost will be between $204 and $270? (Report answer accurate to three decimal places.)
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =
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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?
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A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6 inches, and standard deviation of 2.6 inches. If 37 items are chosen at random, what is the probability that their mean length is greater than 19.2 inches? (Round answer to four decimal places)