Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 13.5, Problem 28E
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.
Test for any significant main effects and any interaction. Use α = .05.
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A trial evaluated the fever-inducing effects of three substances. Study subjects were adults seen in an emergency room with diagnoses of the flu and body temperatures between 100.0 and 100.9ºF. The three treatments (aspirin, ibuprofen and acetaminophen) were assigned randomly to study subjects. Body temperatures were reevaluated 2 hours after administration of treatments. The below table lists the data.
Data Table: Decreases in body temperature (degrees Fahrenheit) for each patient
Mean
Group 1 (aspirin)
0.95
1.48
1.33
1.28
1.26
Group 2 (ibuprofen)
0.39
0.44
1.31
2.48
1.39
1.20
Group 3 (acetaminophen)
0.19
1.02
0.07
0.01
0.62
-0.39
0.25
The ANOVA table that corresponds to this data is below.
What type of tests could you conduct that would allow you to compare each treatment
A trial evaluated the fever-inducing effects of three substances. Study subjects were adults seen in an emergency room with diagnoses of the flu and body temperatures between 100.0 and 100.9ºF. The three treatments (aspirin, ibuprofen and acetaminophen) were assigned randomly to study subjects. Body temperatures were reevaluated 2 hours after administration of treatments. The below table lists the data.
Data Table: Decreases in body temperature (degrees Fahrenheit) for each patient
Mean
Group 1 (aspirin)
0.95
1.48
1.33
1.28
1.26
Group 2 (ibuprofen)
0.39
0.44
1.31
2.48
1.39
1.20
Group 3 (acetaminophen)
0.19
1.02
0.07
0.01
0.62
-0.39
0.25
The ANOVA table that corresponds to this data is below.
State the research question that this ANOVA answers.
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for pot
differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect
loading and unloading method, the type of ride, and interaction. Use a = 0.05. Factor A is method of loading and unloading; Factor B is the type of ride.
Roller Coaster
Method 1
48
50
Method 2
48
50
Type of Ride
Screaming Demon
Long Flume
51
45
43
41
49
46
42
Set up the ANOVA table (to whole number, but p-value to 4 decimals and F value to 2 decimal, if necessary). Do not round intermediate calculations.
Source of Variation Sum of Squares Degrees of Freedom Mean Square
Factor A
F
p-value
×
Factor B
Interaction
Error
* * * *
Total
The p-value for…
Chapter 13 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Ch. 13.2 - 1. The following data are from a completely...Ch. 13.2 - 2. In a completely randomized design, seven...Ch. 13.2 - 3. Refer to exercise 2.
what hypotheses are...Ch. 13.2 - Prob. 4ECh. 13.2 - 5. In a completely randomized design, 12...Ch. 13.2 - Prob. 6ECh. 13.2 - 7. Three different methods for assembling a...Ch. 13.2 - Prob. 8ECh. 13.2 - 9. To study the effect of temperature on yield in...Ch. 13.2 - Prob. 10E
Ch. 13.2 - Four different paints are advertised as having the...Ch. 13.2 - Restaurant Satisfaction. The Consumer Reports...Ch. 13.3 - The following data are from a completely...Ch. 13.3 - Prob. 14ECh. 13.3 - Testing Chemical Processes. To test whether the...Ch. 13.3 - Prob. 16ECh. 13.3 - Marketing Ethics. In the digital age of marketing,...Ch. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Minor league Baseball Attendance. The...Ch. 13.4 - Consider the experimental results for the...Ch. 13.4 - Prob. 22ECh. 13.4 - 23. An experiment has been conducted for four...Ch. 13.4 - Prob. 24ECh. 13.4 - The price drivers pay for gasoline often varies a...Ch. 13.4 - SAT Performance. The Scholastic Aptitude Test...Ch. 13.4 - A study reported in the Journal of the American...Ch. 13.5 - A factorial experiment involving two levels of...Ch. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.5 - Amusement Park Queues. An amusement park studied...Ch. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13 - In a completely randomized experimental design,...Ch. 13 - Prob. 35SECh. 13 - Prob. 36SECh. 13 - Prob. 37SECh. 13 - Assembly Methods. Three different assembly methods...Ch. 13 - In a study conducted to investigate browsing...Ch. 13 - Fuel Efficiency of Gasoline Brands. A research...Ch. 13 - Late-Night Talk Show Viewership. Jimmy Kimmel...Ch. 13 - Prob. 42SECh. 13 - Prob. 43SECh. 13 - Prob. 44SECh. 13 - CASE PROBLEM 1: WENTWORTH MEDICAL CENTER As part...Ch. 13 - CASE PROBLEM 2: COMPENSATION FOR SALES...Ch. 13 - TOURISTOPIA TRAVEL TourisTopia Travel (Triple T)...
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