When a manufacturing process is operating properly, the mean length of a certain partis known to be 6.175 inches, and lengths are normally distributed. The standarddeviation of this length is 0.0080 inches. If a sample consisting of 6 items taken fromcurrent production has a mean length of 6.168 inches, is there evidence at the 5%level of significance that some adjustment of the process is required?Given: mu, o, n, x, 5% level of significanceApproach: compare z-values (test statistic z vs critical z1=-1.96); p-values (O (-z1) and1- 0 (z1) vs 5%); x values (critical x value vs š)

In order to test the claim that the process needs some adjustments, determine whether the mean…

Answered: When a manufacturing process is…

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 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 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 %. (Round to two decimal places as needed.) Since most men the height requirement, it is likely that most of the characters are b. If the height re jed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? meet The new height r imum of in. and a maximum of in. do not meet (Round to one de d.)
A supplier is selling lumber to a building supply company. The building supply company requires that the overall length of a particular type of board measure between 95.9 and 96.1 inches. Before sending its next shipment, the supplier collects a large sample of boards and determines the mean length of the sample is 96.03 inches, with a standard deviation of 0.029 inches. What is the process capability index of the current process? Two decimal places.
Suppose that the volume of sound generated by heavy machinery in a factory is normally distributed, with a mean of 50 dB and a standard deviation of 10 dB. If measurements are taken twice an hour during an eight hour period, 20% of the sample average sound volumes will be above what value?"
The lengths of nails produced in a factory are normally distributed with a mean of 3.343.34 centimeters and a standard deviation of 0.070.07 centimeters. Find the two lengths that separate the top 3%3% and the bottom 3%3%.
A population has a mean µ = 70 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 261. P = (Simplify your answer.) = (Type an integer or decimal rounded to three decimal places as needed.)
A survey found that women's heights are normally distributed with mean 62.4 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 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 nothing%. (Round to two decimal places as needed.) Since most men ▼ do not meet meet the height requirement, it is likely that most of the characters are ▼ 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…
A population has a mean μ=139 and a standard deviation σ=24. Find the mean and standard deviation of the sampling distribution of sample means with sample size n=48.
In a large shipment of ball bearings the diameters have a mean of 0.4 inches and a standard deviation of 0.04 inches. Assuming that the distribution of these diameters can be approximated closely with a normal curve, the percentage of ball bearings have a diameter of 0.400 inches or more is ______________.
Given Samples A and B below Sample A: 2.0 Sample B: 4.3 2.8 4.5 O a. Calculate the mean and standard deviation for each sample. Sample A: XA = Sample B: XB = ; SB = Round to two decimal places if necessary b. Calculate the coefficient of variation for each sample. Sample A: CVA = ; SA = _% 4.2 4.2 4.3 4.0 Sample B: CVB Round to two decimal places if necessary c. Which sample is more variable? o Sample A Sample B Neither sample is more variable than the other 4.4 4.3 3.7 4.9 _% 3.6 2.6 2.8 2.2 2.3 4.1
The mean diameter of a ball bearing produced by a certain manufacturer is 0.60 cm with a standard deviation of 0.04 cm. A sample of 25 ball bearings is randomly selected from a production run. The sample had a mean of 0.60008 and a median 0.60333. What is the standard error for the sample mean? O A. 0.00032 O B. 0.008 O C. 0.0016 O D. 0.00008 O E. 0.00333
According to National Health Survey heights of men are normally distributed with mean of μ=69.0 inches and standard deviation σ=2.50 . What length of a bed is satisfactory for at least 95% of all men?
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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