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Chapter 1: Q 1.34. (page 15)
Identify two methods for obtaining a simple random sample.
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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)
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.
Sexual Signals. In a study by A. Elliot et al . , titled " Women's Use of Red Clothing as a Sexual Signal in Intersexual Interaction " (Journal of Experimental Social Psychology, Vol. 49, Issue 3, pp. 599-602), women were studied to determine the effect of apparel color choice based on perceived attractiveness and gender of a new acquaintance. The following experiment is based on the researchers' investigation. Women are randomly assigned to be told that they would be conversing with an attractive male, an unattractive male, an attractive female, or an unattractive female. The women must wear a standardized shirt before the conversation but can choose between red, green, and blue.
In Exercises 1.17-1.22, state whether the investigation in question is an observational study or a designed experiment. Justify your answer in each case.
Sex, Sleep, and PTSD. In the article, "One's Sex, Sleep, and Posttraumatic Stress Disorder" (Biology of Sex Differences, Vol. 3, No. 29, pp. 1-7), I. Kobayashi et al. study the relationship between one's sex, sleep patterns, and posttraumatic stress disorder (PTSD) after trauma exposure. The authors report that women have a higher lifetime prevalence of PTSD as well as a greater risk of developing PTSD following trauma exposure. Relationships between sleep and physical health have been documented in a number of studies, and the authors explore the possibility that disruptive sleep habits are common among people with PTSD and also a possible risk factor for the development of PTSD. A questionnaire of men and women with and without PTSD produced data on their sleep habits.
Fill in the following blank:
Observational studies can reveal only association, whereas experiments can help establish .
Plant Density and Tomato Yield. In "Effects of Plant Density on Tomato Yields in Western Nigeria" (Experimental Agriculture,Vol. 12(1), pp. 43-47 ), B. Adelana reported on the effect of tomato variety and planting density on yield. Four tomato varieties (Harvester, Pusa Early Dwarf, Ife No. 1, and Ibadan Local ) were grown at four densities ( 10,000, 20,000, 30,000, and 40,000 plants/ha). Identify the
a. experimental units. b. response variable.
c. factor (s). d. levels of each factor.
e. treatments.
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