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Chapter 1: Q 1.78 (page 25)
In simple random sampling, all samples of a given size are equally likely. Is that true in systematic random sampling? Explain your answer.
No. It is not true in the case of systematic random sampling.
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Lifetimes of Flashlight Batteries.Two different options are under consideration for comparing the lifetimes of four brands of flashlight battery, using 20 flashlights.
(a) One option is to randomly divide 20 flashlights into four groups of 5 flashlights each and then randomly assign each group to use a different brand of battery. Would this statistical design be a completely randomized design or a randomized block design? Explain your answer.
(b) Another option is to use 20 flashlights - five different brands of 4 flashlights-each and randomly assign the 4 flashlights of each sign be a completely randomized design or a randomized block design? Explain your answer.
Undercoverage. Oftentimes, an accurate and complete list of the population is unavailable. In such cases, one or more groups will be omitted from the sampling process because they are not listed as part of the population. This type of bias is called undercoverage.
(a) Explain why a sample survey of households will generally suffer from undercoverage.
(b) Provide another example where bias due to undercoverage is likely to occur.
Big-Banks Break-up. A nationwide survey of 1000 U.S. adults, conducted in March 2013 by Rasmussen Reports (field work by Pulse Opinion Research, LLC), found that 50% of respondents favored a plan to break up the 12 megabanks, which then controlled about 69% of the banking industry.
(a) Identify the population and sample for this study.
(b) Is the percentage provided a descriptive statistic or an inferential statistic? Explain your answer.
Ideally, in cluster sampling, each cluster should the entire population.
In Exercises 1.7-1.12, classify each of the studies as either descriptive or inferential. Explain your answers.
Drug Use. The U.S. Substance Abuse and Mental Health Services Administration collects and publishes data on nonmedical drug use, by type of drug and age group, in National Survey on Drug Use and Health. The following table provides data for the years 2003 and 2008. The percentages shown are estimates for the entire nation based on information obtained from a sample (NA, not available).
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