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Chapter 4: Q AP1.12. (page 278)
A linear regression was performed using the five following data points: The residual for which of the five points has the largest absolute value?
(a) A (b) B (c) C (d) D (e) E
The correct option is (b).
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Describe how you would carry out the random assignment. Provide enough detail that a classmate could implement your procedure.
Sampling stuffed envelopes A large retailer prepares its customers鈥� monthly credit card bills using an automatic machine that folds the bills, stuffs them
into envelopes, and seals the envelopes for mailing. Are the envelopes completely sealed? Inspectors choose envelopes from stuffed each hour for visual inspection. Identify the population and the sample.
Meditation for anxiety An experiment that claimed to show that meditation lowers anxiety proceeded as follows. The experimenter interviewed the subjects and rated their level of anxiety. Then the subjects were randomly assigned to two groups. The experimenter taught one group how to meditate and they meditated daily for a month. The other group was simply told to relax more. At the end of the month, the experimenter interviewed all the subjects again and rated their anxiety level. The meditation group now had less anxiety. Psychologists said that the results were suspect because the ratings were not blind. Explain what this means and how lack of blindness could bias the reported results.
Running red lights The sample described in Exercise produced a list of licensed drivers. The investigators then chose an SRS of of these drivers to answer questions about their driving habits. One question asked was: 鈥淩ecalling the last ten traffic lights you drove through, how many of them were red when you entered the intersections?鈥� Of the respondents, admitted that at least one light had been red. A practical problem with this survey is that people may not give truthful answers. What is the likely direction of the bias: do you think more or fewer than of the respondents really ran a red light? Why?
Sampling gravestones The local genealogical society in Coles County, Illinois, has compiled records on all gravestones in cemeteries in the county from the years to Historians plan to use these records to learn about African Americans in Coles County鈥檚 history. They first choose an SRS of records to check their accuracy by visiting the actual gravestones.
(a) Explain how you would use technology or Table D to choose the SRS. Your description should be clear enough for a classmate to obtain your results.
(b) Use your method from (a) to choose the first gravestones.
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