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Chapter 8: Q.3.4 (page 511)
Interpret your interval in context.
There is probability that the mean healing rate is between and
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In each of the following situations, discuss whether it would be appropriate to construct a one-sample interval to estimate the population mean.
(a) We collect data from a random sample of adult residents in a state. Our goal is to estimate the overall percentage of adults in the state who are college graduates.
(b) The coach of a college men鈥檚 basketball team records the resting heart rates of the team members. We use these data to construct a confidence interval for the mean resting heart rate of all male students at this college.
(c) Do teens text more than they call? To find out, an AP Statistics class at a large high school collected data on the number of text messages and calls sent or received by each of randomly selected students. The Fathom boxplot below displays the difference (texts calls) for each student.
How confident? The figure at top right shows the result of taking SRSs from a Normal population and constructing a confidence interval for each sample. Which confidence level鈥�, or 鈥攄o you think was used? Explain.
It's about ME Explain how each of the following would affect the margin of error of a confidence interval, if all other things remained the same.
(a) Increasing the confidence level
(b) Quadrupling the sample size
Velvetleaf is a particularly annoying weed in cornfields. It produces lots of seeds, and the seeds wait in the soil for years until conditions are right for sprouting. How many seeds do velvetleaf plants produce? The Fathom histogram below shows the counts from plants that came up in a cornfield when no herbicide was used. Explain why it would not be wise to use a one-sample interval to estimate the mean number of seeds produced by velvetleaf plants.
The news article goes on to say: 鈥淭he theoretical errors do not take into account a margin of additional error resulting from the various practical difficulties in taking any survey of public opinion.鈥� List some of the 鈥減ractical difficulties鈥� that may cause errors in addition to the percentage point margin of error. Pay particular attention to the news article鈥檚 description of the sampling method.
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