Chapter 3: Problem 10
Mean number of cell phone calls made or received per day by cell phone users. In a survey of 1917 cell phone users, the mean was 13.10 phone calls a day.
Chapter 3: Problem 10
Mean number of cell phone calls made or received per day by cell phone users. In a survey of 1917 cell phone users, the mean was 13.10 phone calls a day.
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Get started for freeMoose Drool Makes Grass More Appetizing Different species can interact in interesting ways. One type of grass produces the toxin ergovaline at levels about 1.0 part per million in order to keep grazing animals away. However, a recent study \(^{27}\) has found that the saliva from a moose counteracts these toxins and makes the grass more appetizing (for the moose). Scientists estimate that, after treatment with moose drool, mean level of the toxin ergovaline (in ppm) on the grass is \(0.183 .\) The standard error for this estimate is 0.016 . (a) Give notation for the quantity being estimated, and define any parameters used. (b) Give notation for the quantity that gives the best estimate, and give its value. (c) Give a \(95 \%\) confidence interval for the quantity being estimated. Interpret the interval in context.
Have You Ever Been Arrested? According to a recent study of 7335 young people in the US, \(30 \%\) had been arrested \(^{28}\) for a crime other than a traffic violation by the age of 23. Crimes included such things as vandalism, underage drinking, drunken driving, shoplifting, and drug possession. (a) Is the \(30 \%\) a parameter or a statistic? Use the correct notation. (b) Use the information given to estimate a parameter, and clearly define the parameter being estimated. (c) The margin of error for the estimate in part (b) is \(0.01 .\) Use this information to give a range of plausible values for the parameter. (d) Given the margin of error in part (c), if we asked all young people in the US if they have ever been arrested, is it likely that the actual proportion is less than \(25 \% ?\)
SKILL BUILDER 1 In Exercises 3.41 to \(3.44,\) data from a sample is being used to estimate something about a population. In each case: (a) Give notation for the quantity that is being estimated. (b) Give notation for the quantity that gives the best estimate. A random sample of maple trees in a forest is used to estimate the mean base circumference of all maple trees in the forest.
Many Europeans Don't Recognize Signs of Stroke or Heart Attack Across nine European countries in a large-scale survey, people had a hard time identifying signs of a stroke or heart attack. The survey \(^{51}\) included 10,228 inhabitants of Austria, France, Germany, Italy, the Netherlands, Poland, Russia, Spain, and the United Kingdom. Participants ages ranged from 14 to 98 . Of those surveyed, less than half (4910) linked arm or shoulder pain to heart attacks. Use StatKey to find and interpret a \(99 \%\) confidence interval for the proportion of Europeans (from these nine countries) who can identify arm or shoulder pain as a symptom of a heart attack. Can we be \(99 \%\) confident that the proportion is less than half?
3.34 A Sampling Distribution for Average Salary of NFL Players Use StatKey or other technology to generate a sampling distribution of sample means using a sample of size \(n=5\) from the YearlySalary values in the dataset NFLContracts2015, which gives the total and yearly money values from the contracts of all NFL players in 2015 . (a) What are the smallest and largest YearlySalary values in the population? (b) What are the smallest and largest sample means in the sampling distribution? (c) What is the standard error (that is, the standard deviation of the sample means) for the sampling distribution for samples of size \(n=5 ?\) (d) Generate a new sampling distribution with samples of size \(n=50 .\) What is the standard error for this sampling distribution?
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