A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and thediameters are found to be 1.01,0.97, 1.03, 1.04, 0.99,0.98, 0.99, 1.01, and 1.03 centimeters. Find a 95% confidence interval for the meandiameter of pieces from this machine, assuming an approximately normal distribution(0.978, 1.033)none of the given choices(0.507, 1.988)O( 2.094, 3.933)O (0.987, 1.024)

Answered: A machine produces metal pieces that…

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 steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inches, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. (Data are shown in images)
For a sample from a normal distribution with standard deviation σσ, the standard deviation of the sampling distribution of the sample mean is σ/8σ/8. What is the size of the sample
2. In a standard normal curve, find... a) P(Zs 2.80) = p (2.80) b) between z=-1.28 and z=-0.663B c) to the left of z=1.50;
A machine produces glass with a nominal thickness of 4mm. In fact the thickness is a Normal random variable with mean 4.168mm and standard deviation 0.12mm. The thickness in mm which 5% of panes exceed is (2 d.p.)?
A credit card company claims that the mean credit card debt for individuals is greater than $5,000. You want to test this claim. You find that a random sample of 27 cardholders has a mean credit card balance of $5,199 and a standard deviation of $575. At α=0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
A population of values has a normal distribution with μ=240.1 and σ=82.8. A random sample of size n=33 is drawn. What is the mean of the distribution of sample means ? What is the standard deviation of the distribution of sample means?
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x < 65)? A. 0.975 В. 0.84 С. 0.025 D. 0.16
Suppose x has a normal distribution with σ = 9. A random sample of size 36 has sample mean 20. Find a 95% confidence interval for μ.
Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo. At one site on the mesa, tree-ring dates (for many samples) gave a mean date of μ₁ = year 1259 with standard deviation ₁ = 35 years. At a second, removed site, the tree-ring dates gave a mean of μ₂ = year 1101 with standard deviation ₂ = 35 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated as x₁ = year 1202. In the second area, another object was found and dated as x₂ = year 1246. The Standard Normal Distribution (u= 0, σ = 1) O -3 -2 O 0 68% of area 95% of area 99.7% of area 2 (a) Convert both X₁ and X₂ to z values, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.) Z1 = Z2 3 (b) Which of these two items is the more unusual as an archaeological find in its location? O x₁; the further a z value is from zero, the more unusual it is. X₂i the…
A nursery sells lime trees that have normally distributed heights with a mean of 2 ft and a standard deviation of 0.3 ft. Find the probability that a randomly selected tree is between 1 and 2 ft.
As a part of the productivity assessment at a company, the HR manager carried out a survey and found that inclusive of overtime, the amount of time spent at work per week follows a normal distribution with µ=35 hours and σ2 = 4 hours.
Nine diodes were sampled to measure the manufactured diode's forward voltage as shown in the table below. Use these data to calculate three interval types (shown below. For all computations, assume an approximately normal distribution. The mean sample and standard deviation for the given data are x =0.7 V and s=0.1 V. Forward Voltage Drop of a Diode (V) 0.7489 0.8035 0.7727 0.6697 0.7294 0.7489 0.6213 0.7888 0.5853 0.5931 0.6213 Find the 99% tolerance limits that will contain 95% of the diodes manufactured.

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