●Example: Plastic sheeting produced by a machine must be periodically monitored forpossible fluctuations in thickness. Based on experience with a great many samples,when the machine is working well, an observation on thickness has a normaldistribution with standard deviation o = 1.35 mm.Samples of 20 thickness measurements are collected regularly. A value of the samplestandard deviation exceeding 1.4mm signals concern about the product.• Find the probability that, when o = 1.35, the next sample will signal concern aboutthe product.

Given that Sample size (n)=20 Standard deviation =1.35 A value of the sample standard deviation…

Answered: Example: Plastic sheeting produced by a…

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 random sample of 100,000 credit sales in a department store showed an average sale of $81.25. From past data, it is known that the standard deviation of the population is $10.00. Determine the standard error of the mean. O 0.0001 O 0.0100 O 0.0316 O 10.00
A survey found that women's heights are normally distributed with mean 62.8 in. and standard deviation 3.3 in. The survey also found that men's heights are normally distributed with mean 68.1 in. and standard deviation 3.5 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 the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.)
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 population has a mean µ = 87 and a standard deviation à = 23. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. ox = (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.) 33
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…
6. GEM Company: the diameter of a cylinder is an important measurement in an industrial operation. The buyer sets the specifications for the diameter to be 4.0 ±0.02 cm. The implication is that no part falling outside these specifications will be accepted. It is known that in the process the diameter of a cylinder has a normal distribution with mean u = 4.0 and standard deviation o =0.013. On average, how many manufactured cylinders will be scrapped?
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:
Researchers at the National Weather Center in Portland, Maine recorded the number of 90° days each year since records were first kept, starting in 1875. The number of 90° days form a normal-shaped distribution, with a mean of μ = 9.6 days and a standard deviation of σ = 1.9. To see if the data showed any evidence of climate change (and specifically global warming), they also computed the mean number of 90° days for the most recent n = 4 years and obtained a mean number of days for the past four years of x̅ = 12.25 days. Using a one-tailed test with α = .05, the researchers completed the calculations, but they need your help in drawing an appropriate conclusion. (According to their calculations, the standard error is sM = 0.95, and the sample mean of x̅ = 12.25 days corresponds to a z-score of z = 2.79.) Using the same one-tailed test (α = .05), determine if the data indicate that the past four years have had significantly more 90° days than would be expected for a random sample from…
3. The weights of a new species of durian have a mean of 2 m and a standard deviation of 40 cm.100 samples of 50 durians each are measured. Find the number of samples expected when the sample mean is a. greater than 2.5 m b. between 1.80 m and 2.5 m

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