Introduction to Statistical Quality Control
7th Edition
ISBN: 9781118146811
Author: Montgomery, Douglas C.
Publisher: John Wiley & Sons Inc
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Chapter 4, Problem 26E
The cooling system in a nuclear submarine consists of an assembly pipe through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi.
(a) Suppose the designers decide to test the hypothesis
(b) A random sample of 20 welds results in
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Q3) An experiment was carried out to investigate variation of solubility of chemical X in water. The
quantities in kg that dissolved in 1 liter at various temperatures are show in the table (1).
Table (1)
Temperature C Mass of X
2.1
2.6
2.9
3.3
15
20
25
30
35
4
50
5.1
70
7
Use the proper methods to answer the following questions:
a) Draw a scatter diagram to show the data.
b) Estimate the temperature based on the mass of X.
c) What quantity might be expected to dissolve at 42 C? Find the quantity that your cquation indicates
would dissolve at 10 C and comment on your answer.
Hypertension is a long-term medical condition in which the blood pressure in the arteries is persistently
elevated. In elderly patients with hypertension, a high systolic pressure can cause a fainting episode, so
X
transporting them to an emergency clinic is imperative. Let be the systolic blood pressure of elderly
patients with hypertension on arrival at the emergency clinic after a fainting episode. A random sample of
such patients was considered. The measurements of each patient, in mm Hg, are given below. At the 5%
level of significance, can we conclude from the data in this sample that the mean systolic blood pressure of
all elderly hypertensive patients transported to an emergency clinic after a fainting episode is smaller than
175 mm Hg?
patient
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
X
166
178
153
157
178
158
153
169
182
155
151
195
202
169
157
patient
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
X
173
161
155
154
178
200
168
196
180
191
167
170
161
191
166
patient
31
32
33
34
35…
A pet food company is concerned that their pet food must have a certain % of the mineral 2Ine II
the food. Too little and dogs get very sick. If the machinery is working correctly, the average
zinc is µu = .375 gram/lb of food.
They sample 25 bags of food and find:
x = .359 grams
o = .05 grams
The firm wants to know if their pet food is healthy. They decide on a 95% level of
significance. Do the Z test. They ask you to perform the analysis.
a)
State the null and alternative hypotheses.
Ho:
На:
b)
Draw a picture/graph of what you are trying to find.
c)
Find the critical value you will use.
d)
Compute the test statistic (from the data)
e)
What do you conclude? Why?
Chapter 4 Solutions
Introduction to 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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