A factory machine produces a certain copper tubing component in a refrigeration unit. The tubing components produced by the manufacturer have a mean diameter of 0.75 inch with astandard deviation of 0.004 inch. The quality control inspector takes a random sample of 30 components once each week and calculates the mean diameter of these components. If themean is either less than 0.748 inch or greater than 0.752 inch, the inspector concludes that the machine needs an adjustment.(a) Describe the sampling distribution of x, the sample mean diameter, for a random sample of 30 such components.(b) What is the probability that, based on a random sample of 30 such components, the inspector will conclude that the machine needs an adjustment when, in fact, the machine iscorrectly calibrated?(a) The sampling distribution of x is(Type exact answers, using radicals as needed.)with mean μand standard deviation o- =

Given information: μ=0.75σ=0.04n=30 a) From the central limit theorem, The sampling distribution of…

Answered: A factory machine produces a certain…

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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It is determined that the amount of water in a bottle made by this company is normally distributed with a mean of 12 oz and a standard deviation of 0.06 oz. What percent of water bottles contain between 11.88 and 12.12 oz of water?
A company need to estimate the average weight of a product at 95% level of confidence. Average weight and standard deviation of a sample of size 50 are 20.5 kg and 4.8 kg respectively. Estimate the average weight of the total production.
According to United States Department of Agriculture, the average retail price of conventional whole milk at New York City in the year 2020 (up to November 2020 considered) is $3.92 per gallon. The standard deviation in the retail prices in the year 2020 (up to November 2020 considered) is $0.084. You are given a task of selecting randomly a sample of 85 milk bottles (whole milk of 1 gallon volume). a. Calculate µx̅ and σx̅. b. What is the approximate probability that the sample has a mean retail price that exceeds $4.05? c. What is the approximate probability that the sample has a mean retail price between $3.91 and $3.94?
A survey found that women's heights are normally distributed with mean 62.7 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.4 in. and standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 5.08 %. (Round to two decimal places as needed.) Since most men do not meet the height requirement, it is likely that most of the characters are women. b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of (Round to…
A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 2.5 in. The survey also found that men's heights are hormally distributed with mean 68.3 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at he amusement park? The percentage of men who meet the height requirement is %. Round to two decimal places as needed.)
A certain grade egg must weigh at least 2.0 Oz. If the weights of eggs are normally distributed with a mean of 1.5oz. And a standard deviation of 0.4oz, approximately how many eggs would you expect to weigh more than 2oz?
By measuring the amount of time it takes a component of a product to move from one workstation to the next, a technologist has estimated that the standard deviation is 5.00 seconds. What sample size should be used in order to be 95% certain that the mean transfer is estimated to within ±1.00 seconds?
The diameter of a spindle in a small motor is supposed to be 4.4 millimeters (mm) with a standard deviation of 0.11 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.27 mm. H0: Ha: (b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $20.95 with standard deviation $0.78. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $18.31. H0: Ha:
In a certain country the heights of adult men are normally distributed with a mean of 70.2 inches and a standard deviation of 2.7 inches. The country's military requires that men have heights between 66 inches and 79 inches. Determine what percentage of this country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is nothing%. (Round to two decimal places as needed.)
While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 1.50 m and 5.50 m. What is the standard deviation of the water depth?
The population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.
A survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation 3.5 in. The survey also found that men's heights are normally distributed with mean 69.8 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is:

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