Chapter 1: Problem 73
Describe an association between two variables. Give a confounding variable that may help to account for this association. Sales of toboggans tend to be higher when sales of mittens are higher.
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Chapter 1: Problem 73
Describe an association between two variables. Give a confounding variable that may help to account for this association. Sales of toboggans tend to be higher when sales of mittens are higher.
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New research \(^{47}\) supports the idea that people who get a good night's sleep look more attractive. In the study, 23 subjects ages 18 to 31 were photographed twice, once after a good night's sleep and once after being kept awake for 31 hours. Hair, make-up, clothing, and lighting were the same for both photographs. Observers then rated the photographs for attractiveness, and the average rating under the two conditions was compared. The researchers report in the British Medical Journal that "Our findings show that sleep- deprived people appear less attractive compared with when they are well rested." (a) What is the explanatory variable? What is the response variable? (b) Is this an experiment or an observational study? If it is an experiment, is it a randomized comparative design or a matched pairs design? (c) Can we conclude that sleep deprivation causes people to look less attractive? Why or why not? 1.92 Do Antidepressants Work? Following the steps below, design a randomized comparative experiment to test whether fluoxetine (the active ingredient in Prozac pills) is effective at reducing depression. The participants are 50 people suffering from depression and the response variable is the changc on a standard questionnaire measuring level of depression. (a) Describe how randomization will be used in the design. (b) Describe how a placebo will be used. (c) Describe how to make the experiment doubleblind.
Political Party and Voter Turnout Suppose that we want to investigate the question "Does voter turnout differ by political party?" How might we collect data to answer this question? What would the cases be? What would the variable(s) be?
State whether or not the sampling method described produces a random sample from the given population. The population is the approximately 25,000 protein-coding genes in human DNA. Each gene is assigned a number (from 1 to 25,000 ), and computer software is used to randomly select 100 of these numbers yielding a sample of 100 genes.
State whether or not the sampling method described produces a random sample from the given population. The population is all trees in a forest. We walk through the forest and pick out trees that appear to be representative of all the trees in the forest.
State whether the data are best described as a population or a sample. The US Department of Transportation announces that of the 250 million registered passenger vehicles in the US, \(2.1 \%\) are electro-gas hybrids.
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