Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 2, Problem 34P
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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)?
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List the null hypothesis being tested.
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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
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17.68
0.43
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40
12.65
0.57
30
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15.96
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8.03
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-
+
++
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 2 Solutions
Introductory Statistics
Ch. 2 - For the Park City basketball team, scores for the...Ch. 2 - The following data show the distances (in miles)...Ch. 2 - The table shows the number of sins and losses the...Ch. 2 - In a survey, 40 people were asked how many times...Ch. 2 - The population in Park City is made up of...Ch. 2 - Park city is broken down into six voting...Ch. 2 - The following data are the shoe sizes of 50 male...Ch. 2 - The following data are the number of sports played...Ch. 2 - The following data represent the number of...Ch. 2 - Construct a frequency polygon of U.S. Presidents’...
Ch. 2 - The following table is a portion of a data set...Ch. 2 - For the following 11 salaries, calculate the IQR...Ch. 2 - Find the interquartile range for the following two...Ch. 2 - Forty bus drivers were asked how many hours they...Ch. 2 - Refer to the Table 223. Find the third quartile....Ch. 2 - Listed are 29 ages for Academy Award sinning best...Ch. 2 - Listed are 30 ages for Academy Award winning best...Ch. 2 - For the 100-meter dash, the third quartile for...Ch. 2 - On a 60 point written assignment, the 80th...Ch. 2 - During a season, the 40th percentile for points...Ch. 2 - The following data are the number of pages In 40...Ch. 2 - The folloising data set show’s the heights in...Ch. 2 - Follow the steps you used to graph a...Ch. 2 - The following data show the number of months...Ch. 2 - In a sample of 60 households, one house is worth...Ch. 2 - The number of books checked out from the library...Ch. 2 - Five credit scores are 680, 680, 700, 720, 720....Ch. 2 - Mails conducted a study on the effect that playing...Ch. 2 - Discuss the mean, median, and mode for each of the...Ch. 2 - On a baseball team, the ages of each of the...Ch. 2 - The following data show the different types of pet...Ch. 2 - Find the standard deviation for the data from the...Ch. 2 - Two swimmers, Angie and Beth, from different...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - The students in Ms. Ramirez’s math class have...Ch. 2 - Using the data from Mrs. Ramirez’s math class...Ch. 2 - David County has six high schools. Each school...Ch. 2 - Use the data from the David County science...Ch. 2 - Sixty-five randomly selected car salespersons were...Ch. 2 - What does the frequency column in Table 2.42 sum...Ch. 2 - What does the relative frequency column in Table...Ch. 2 - What is the difference between relative frequency...Ch. 2 - What is the difference between cumulative relative...Ch. 2 - To construct the histogram for the data in Table...Ch. 2 -
Ch. 2 - Construct a frequency polygon from the frequency...Ch. 2 - Use the two frequency tables to compare the life...Ch. 2 - Construct a times series graph for (a) the number...Ch. 2 - The following data sets List full time police per...Ch. 2 - Listed are 29 ages for Academy Award winning best...Ch. 2 - Listed are 32 ages for Academy Award winning best...Ch. 2 - Jesse was ranked 37th in his graduating class of...Ch. 2 - a. For runners in a race, a low time means a...Ch. 2 - a. For runners in a race, a higher speed means a...Ch. 2 - On an exam, would it be more desirable to earn a...Ch. 2 - Mina is waiting in line at the Department of Motor...Ch. 2 - In a survey collecting data about the salaries...Ch. 2 - In a study collecting data about the repair costs...Ch. 2 - The University of California has two criteria used...Ch. 2 - Suppose that you are buying a house. You and your...Ch. 2 - First quartile = _______Ch. 2 - Second quartile = median = 50th percentile =Ch. 2 - Third quartile = _______Ch. 2 - Interquartile range (IQR) = _____ — _____Ch. 2 - Inteiquartile range (IQR = _____ — _____ = _____...Ch. 2 - percentile = _______Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Find the mean for the following frequency tables.Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - When the data are skewed left, what is the typical...Ch. 2 - When the data are symmetrical, what is the typical...Ch. 2 - What word describes a distribution that has two...Ch. 2 - Describe the shape of this distribution. Figure...Ch. 2 - Describe the relationship between the mode and the...Ch. 2 - Describe the relationship between the mean and the...Ch. 2 - Describe the shape of this distribution. Figure...Ch. 2 - Describe the relationship between the mode and the...Ch. 2 - Are the mean and the median the exact same in this...Ch. 2 - Describe the shape of this distribution. Figure...Ch. 2 - Describe the relationship between the mode and the...Ch. 2 - Describe the relationship between the mean and the...Ch. 2 - The mean and median for the data are the same. 3;...Ch. 2 - Which is the greatest, the mean, the mode, or the...Ch. 2 - Which is the least, the mean, the mode, and the...Ch. 2 - Of the three measures, which tends to reflect...Ch. 2 - In a perfectly symmetrical distribution, when...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Two baseball players, Fredo and Karl, on different...Ch. 2 - Use Table 2.57 to find the value that is three...Ch. 2 - Find the standard deviation for the following...Ch. 2 - Student grades on a chemistry exam were: 77, 78,...Ch. 2 - Table 2.61 contains the 2010 obesity rates in U.S....Ch. 2 - Suppose that three book publishers were interested...Ch. 2 - Often, cruise ships conduct all on-board...Ch. 2 - Twenty-five randomly selected students were asked...Ch. 2 - The percentage of people who own at most three...Ch. 2 - If the data were collected by asking the first 111...Ch. 2 - Following are the 2010 obesity rates by U.S....Ch. 2 - The median age for U.S. blacks currently is 30.9...Ch. 2 - Six hundred adult Americans were asked by...Ch. 2 - Given the following box plot: Figure 2.41 a. which...Ch. 2 - The following box plot shows the U.S. population...Ch. 2 - In a survey of 2O-year-olds in China, Germany, and...Ch. 2 - Given the following box plot, answer the...Ch. 2 - Given the following box plots, answer t*...Ch. 2 - A survey was conducted of 130 purchases of new BMW...Ch. 2 - Twenty-five randomly selected students were asked...Ch. 2 - The most obese countries in the world have obesity...Ch. 2 - Table 2.72 gives the percent of children under...Ch. 2 - The median age of the U.S. population in 1980 was...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Three students were applying to the same graduate...Ch. 2 - A music school has budgeted to purchase three...Ch. 2 - An elementary school class ran one mile with a...Ch. 2 - The most obese countries in the world have obesity...Ch. 2 - Table 2.76 gives the percent of children under...Ch. 2 - Santa, Clara Country, Ca, has approximately 27,873...Ch. 2 - Javier and Ercilia are supervisors at a shopping...Ch. 2 - What is the IQR? a. 8 b. 11 C. 15 d. 35Ch. 2 - What is the mode? a. 19 b. 19.5 c. 1and 20 d....Ch. 2 - Is this a sample or the entire population? a....Ch. 2 - Twenty-five randomly selected students were asked...Ch. 2 - Forty randomly selected students were asked the...Ch. 2 - Following are the published weights (in pounds) of...Ch. 2 - One hundred teachers attended a seminar on...Ch. 2 - Refer to Figure 2.50 determine which of the...Ch. 2 - In a recent issue of the IFFF Spectrum, 84...Ch. 2 - A survey of enrollment at 35 community colleges...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the not...Ch. 2 - Suppose that a publisher conducted a survey asking...
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