●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 is obtained from a normal population with a mean of u=95 and a standard deviation of o=40. The sample mean is M=86. a.is the a representative sample mean or an extreme value for a sample of n=16 scores?
A sample of 314 patients between 38 and 82 were given a drug intended to reduce their level of cholesterol. The results were the mean reduction in cholesterol of 0.94 millimole per liter. Assume the population standard deviation is σ = 0.18. Construct a 98% C.I.
See pictures for question D and E and (A, B and Cand was submitted on a different question. According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 44 months. A researcher for a consumer advocate group tests this by selecting 16 bulbs at random. For the bulbs in the sample, the mean lifetime is 47 months. It is known that the population standard deviation of the lifetimes is 5 months. Assume that the population is normally distributed. Can we conclude, at the 0.10 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 44 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below.
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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…
In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject. The study revealed that the overall physical activity of obese young adults has a mean of μ = 325 cpm and a standard deviation of a = 90 cpm. In a random sample of n = 100 obese young adults, consider the sample mean counts per minute, x. Click the icon to view the table of normal curve areas. a. Describe the sampling distribution of x. Find μ. Find o-. X 0-= (Type an integer or a decimal.) Describe the shape of the sampling distribution of x. ✩ OA. Skewed right OB. Approximately normal OC. Skewed left b. What is the probability that the mean overall physical activity level of the sample is between 300 and 310 cpm? P(300 ≤x≤310) = (Round to four decimal places as needed.) c. What is the probability that the mean overall physical…

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