Intro Stats
4th Edition
ISBN: 9780321825278
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 27E
Marriage age In 1975, did men and women marry at the same age? Here are boxplots of the age at first marriage for a sample of U.S. citizens then. Write a brief report discussing what these data show.
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A retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP).
What were the average sales for the standard POP display (control group)?
What were the sales for the digital display (experimental group)?
What is the (mean) difference in sales between the experimental group and control group?
List the null hypothesis being tested.
Do you reject or retain the null hypothesis based on the results of the independent t-test?
Was the difference between the…
Question 4
An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a
silver powder production process. This product is used in conductive pastes to manufacture a wide variety of
products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area
(cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction
temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was
replicated twice. The design is shown in Table 3.
A222222222222233
Stir Rate
(RPM)
Ammonium
(%)
Table 3: Silver Powder Experiment from Exercise 13.23
Temperature
(°C)
Density
Surface Area
100
8
14.68
0.40
100
8
15.18
0.43
30
100
8
15.12
0.42
30
100
17.48
0.41
150
7.54
0.69
150
8
6.66
0.67
30
150
8
12.46
0.52
30
150
8
12.62
0.36
100
40
10.95
0.58
100
40
17.68
0.43
30
100
40
12.65
0.57
30
100
40
15.96
0.54
150
40
8.03
0.68
150
40
8.84
0.75
30
150…
-
+
++
Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
(1)
Replicate
I II
7.037
6.376
14.707 15.219
|++++ 1
བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ
a
b
ab
11.635 12.089
17.273 17.815
с
ас
10.403 10.151
4.368 4.098
bc
abc
9.360 9.253
13.440 12.923
d
8.561 8.951
ad
16.867 17.052
bd
13.876 13.658
abd
19.824 19.639
cd
11.846 12.337
acd
6.125
5.904
bcd
11.190 10.935
abcd
15.653 15.053
Question 3
Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment
method (C), is a categorical variable. Assume that the remaining factors are continuous.
(a) Write two regression models for predicting crack length, one for each level of the heat treatment method
variable. What differences, if any, do you notice in these two equations?
(b) Generate appropriate response surface contour plots for the two regression models in part (a).
(c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method
C = +?
(d) Repeat…
Chapter 4 Solutions
Intro Stats
Ch. 4.2 - The Bureau of Transportation Statistics of the...Ch. 4.2 - The Bureau of Transportation Statistics of the...Ch. 4.2 - Prob. 3JCCh. 4 - Prob. 1ECh. 4 - Prob. 2ECh. 4 - Prob. 3ECh. 4 - 4. Load factors by year Here is a display of the...Ch. 4 - Prob. 5ECh. 4 - Prob. 6ECh. 4 - Prob. 7E
Ch. 4 - Prob. 8ECh. 4 - Prob. 9ECh. 4 - Exoplanets re-expressed Here are the exoplanet...Ch. 4 - Prob. 15ECh. 4 - Prob. 16ECh. 4 - Prob. 17ECh. 4 - Prob. 18ECh. 4 - Sugar in cereals Sugar is a major ingredient in...Ch. 4 - Tendon transfers People with spinal cord injuries...Ch. 4 - Prob. 21ECh. 4 - Camp sites Shown below are the histogram and...Ch. 4 - Hospital stays The U.S. National Center for Health...Ch. 4 - Prob. 24ECh. 4 - Womens basketball Here are boxplots of the points...Ch. 4 - Prob. 26ECh. 4 - Marriage age In 1975, did men and women marry at...Ch. 4 - Fuel economy and cylinders Describe what these...Ch. 4 - Prob. 29ECh. 4 - Ozone Ozone levels (in parts per billion, ppb)...Ch. 4 - Test scores Three statistics classes all took the...Ch. 4 - Prob. 32ECh. 4 - Graduation? A survey of major universities asked...Ch. 4 - Vineyards Here are summary statistics for the...Ch. 4 - Caffeine A student study of the effects of...Ch. 4 - SAT scores Here are the summary statistics for...Ch. 4 - Prob. 37ECh. 4 - Framingham cholesterol The Framingham Heart Study...Ch. 4 - Prob. 39ECh. 4 - Cloud seeding In an experiment to determine...Ch. 4 - Industrial experiment Engineers at a computer...Ch. 4 - Cholesterol and smoking A study that examined the...Ch. 4 - Prob. 43ECh. 4 - Prob. 44ECh. 4 - Prob. 45ECh. 4 - Prob. 46ECh. 4 - Assets Here is a histogram of the assets (in...Ch. 4 - Prob. 48ECh. 4 - Assets again Here are the same data you saw in...Ch. 4 - Rainmakers The table lists the amounts of rainfall...Ch. 4 - Stereograms Stereograms appear to be composed...Ch. 4 - Stereograms, revisited Because of the skewness of...
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