INTRO. STATISTICAL QUALITY CONTROL
13th Edition
ISBN: 9781118909447
Author: Montgomery
Publisher: WILEY
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Textbook Question
Chapter 4, Problem 16E
Two machines are used for filling glass bottles with a soft-drink beverage. The filling processes have known standard deviations al σ1 = 0.010 liter and σ2 = 0.015 liter, respectively. A random sample of n1 = 25 bottles from machine 1 and n2 = 20 bottles from machine 2 results in average net contents of
- (a) Test the hypothesis that both machines fill to the same net contents, using α = 0.05. What are your conclusions?
- (b) Find the P-value for this test.
- (c) Construct a 95% confidence interval on the difference in mean fill volume.
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7. In a 2011 article, M. Radelet and G. Pierce reported a logistic prediction equation
for the death penalty verdicts in North Carolina. Let Y denote whether a subject
convicted of murder received the death penalty (1=yes), for the defendant's race
h (h1, black; h = 2, white), victim's race i (i = 1, black; i = 2, white), and
number of additional factors j (j = 0, 1, 2). For the model
logit[P(Y = 1)] = a + ß₁₂ + By + B²²,
they reported = -5.26, D
â
BD
=
0, BD
=
0.17, BY = 0, BY
=
0.91, B = 0,
B = 2.02, B = 3.98.
(a) Estimate the probability of receiving the death penalty for the group most
likely to receive it. [4 pts]
(b) If, instead, parameters used constraints 3D = BY = 35 = 0, report the esti-
mates. [3 pts]
h
(c) If, instead, parameters used constraints Σ₁ = Σ₁ BY = Σ; B = 0, report
the estimates. [3 pts]
Hint the probabilities, odds and odds ratios do not change with constraints.
Solve please and thank you!
Solve please and thank you!
Chapter 4 Solutions
INTRO. STATISTICAL QUALITY CONTROL
Ch. 4 - Suppose that you are testing the following...Ch. 4 - Suppose that you are testing the following...Ch. 4 - Suppose that you are testing the following...Ch. 4 - Suppose that you are testing the following...Ch. 4 - Suppose that you are testing the following...Ch. 4 - Suppose that you are testing the following...Ch. 4 - The inside diameters of bearings used in an...Ch. 4 - The tensile strength of a fiber used in...Ch. 4 - The service life of a battery used in a cardiac...Ch. 4 - Using the data from Exercise 4.7, construct a 95%...
Ch. 4 - A new process has been developed for applying...Ch. 4 - A machine is used to fill containers with a liquid...Ch. 4 - Ferric chloride is used as a flux in some types of...Ch. 4 - The diameters of aluminum alloy rods produced on...Ch. 4 - The output voltage of a power supply is assumed to...Ch. 4 - Two machines are used for filling glass bottles...Ch. 4 - Two quality control technicians measured the...Ch. 4 - Suppose that x1N(,12) and x2N(2,22), and that x1...Ch. 4 - Two different hardening processes(1) saltwater...Ch. 4 - A random sample of 200 printed circuit boards...Ch. 4 - A random sample of 500 connecting rod pins...Ch. 4 - Two processes are used to produce forgings used in...Ch. 4 - A new purification unit is installed in a chemical...Ch. 4 - Two different types of glass bottles are suitable...Ch. 4 - The diameter of a metal rod is measured by 12...Ch. 4 - The cooling system in a nuclear submarine consists...Ch. 4 - An experiment was conducted to investigate the...Ch. 4 - Suppose we wish to test the hypotheses H0:=15H1:15...Ch. 4 - Consider the hypotheses H0:=0H1:0 where 2 is...Ch. 4 - Sample size allocation. Suppose we are testing the...Ch. 4 - Develop a test for the hypotheses H0: 1 = 2 H1: 1 ...Ch. 4 - Nonconformities occur in glass bottles according...Ch. 4 - An inspector counts the surface-finish defects in...Ch. 4 - An in-line tester is used to evaluate the...Ch. 4 - An article in Solid State Technology (May 1987)...Ch. 4 - Compare the mean etch uniformity values at each of...Ch. 4 - An article in the ACI Materials Journal (Vol. 84,...Ch. 4 - Compare the mean compressive strength at each...Ch. 4 - An aluminum producer manufactures carbon anodes...Ch. 4 - Plot the residuals from Exercise 4.36 against the...Ch. 4 - An article in Environmental International (Vol....Ch. 4 - An article in the Journal of the Electrochemical...Ch. 4 - The tensile strength of a paper product is related...Ch. 4 - A plant distills liquid air to produce oxygen,...Ch. 4 - Plot the residuals from Exercise 4.43 and comment...Ch. 4 - Plot the residuals from Exercise 4.44 and comment...Ch. 4 - The brake horsepower developed by an automobile...Ch. 4 - Analyze the residuals from the regression model in...Ch. 4 - Table 4E.11 contains the data from a patient...Ch. 4 - Analyze the residuals from the regression model on...Ch. 4 - Reconsider the patient satisfaction data in Table...Ch. 4 - Analyze the residuals from the multiple regression...Ch. 4 - Consider the Minitab output below. (a) Fill in the...Ch. 4 - Suppose that you are testing H0: 1 = 2 versus H1: ...Ch. 4 - Suppose that you are testing H0: = 2 versus H1: ...Ch. 4 - Consider the Minitab output below. (a) Fill in the...Ch. 4 - Consider the Minitab output shown below. (a) Is...Ch. 4 - Consider the Minitab output shown below. (a) Fill...Ch. 4 - Consider the Minitab output below. (a) Fill in the...Ch. 4 - Consider a one-way or single-factor ANOVA with...Ch. 4 - Consider the Minitab ANOVA output below. Fill in...
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