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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A survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation 3.3 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 62in. 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 nothing %.
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?
The inspection division of the Lee County Weights and Measures Department is interested in estimating the population mean of the amount of soft drink that is placed in 2-quart bottles at the local bottling plant of a large nationally known soft-drink company. The bottling plant has informed the inspection division that the population standard deviation for 2-quart bottles is .2 quart. A random sample of 100 2-quart bottles obtained from this bottling plant indicated a sample mean of 1.95 quarts. Is the population mean filling weight of 2-quarts being maintained by this process? Conduct an appropriate test of hypothesis for the population mean using an alpha level of .05. Step 1. (4) State the null hypothesis Ho and the alternative hypothesis H1. Step 2. (4) State the level of significance a and the sample size n. Step 3. (4) Determine the appropriate test statistic and sampling distribution. Step 4. (4) Determine the critical value(s) that divide the rejection and nonrejection regions.…
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.)
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