Chapter 1: Q 1.85. (page 29)
In a designed experiment, there is one factor with four levels. How many treatments are there?
Four treatments are there.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
In Exercises 1.92-1.97, we present descriptions of designed experiments. In each case, identify the
(a) experimental units
(b) response variable
(c) factor (s)
(d) levels of each factor:-
(e) treatments.
Increasing Unit Sales. Supermarkets are interested in strategies to increase temporarily the unit sales of a product. In one study, researchers compared the effect of display type and price on unit sales for a particular product. The following display types and pricing schemes were employed.
Identify and explain the significance of the three basic principles of experimental design.
Adverse Effects of Prozac. Prozac ( fluoxetine hydrochloride ), a product of Eli Lilly and Company, is used for the treatment of depression, obsessive-compulsive disorder ( OCD ), and bulimia nervosa. An issue of the magazine Arthritis Today contained an advertisement reporting on the " ... treatment-emergent adverse events that occurred in 2 % or more patients treated with Prozac and with incidence greater than placebo in the treatment of depression, OCD, or bulimia. " In the study, 2444 patients took Prozac and 1331 patients were given placebo. Identify the
(a) treatment group.
(b) control group.
(c) treatments.
Child-Proof Bottles.Designing medication packaging that resists opening by children, but yields readily to adults presents numerous challenges. In the article "Painful Design" (American Scientist, Vol. 93, No. 2, pp. 113-118 ), H. Petroski examined the packaging used for Aleve, a brand of pain reliever. Three new container designs were given to a panel of children aged 42 months to 51 months. For each design, the children were handed the bottle, shown how to open it, and then left alone with it. If more than 20 % of the children succeeded in opening the bottle on their own within 10 minutes, even if by using their teeth, the bottle failed to qualify as child resistant.
Identify the
a. experimental units. b. response variable.
c. factor (s). d. levels of each factor.
e. treatments.
The members of a population are numbered 1-50.
(a). Use Table I in Appendix A to obtain an SRS of size 6 from the population. Start at the two-digit number in line number 10 and column numbers 10-11, read down the column, up the next, and so on.
(b). If you have access to a random-number generator, use it to solve part (a)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
