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Chapter 12: Q.AP4.2 - Cumulative AP Practise Test (page 827)
If and and events and are independent, what is or ?
邪.
b.
c.
d.
e. The answer cannot be determined from the given information.
Correct option is
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Beer and BAC How well does the number of beers a person drinks predict his or her blood alcohol content (BAC)? Sixteen volunteers aged or older with an initial BAC of took part in a study to find out. Each volunteer drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their BAC. A least-squares regression analysis was performed on the data using x=number of beers and y=BAC. Here is a residual plot and a histogram of the residuals. Check whether the conditions for performing inference about the regression model are met.
Boyle鈥檚 law Refer to Exercise 34. Here is a graph of versus volume along with output from a linear regression analysis using these variables:
a. Give the equation of the least-squares regression line. Define any variables you use. b. Use the model from part (a) to predict the pressure in the syringe when the volume is cubic centimeters.
Stats teachers鈥� cars A random sample of 21 AP庐 Statistics teachers was asked to report the age (in years) and mileage of their primary vehicles. Here is a scatterplot of the data:
Here is some computer output from a least-squares regression analysis of these data. Assume that the conditions for regression inference are met.
a. Verify that the confidence interval for the slope of the population regression line is .
b. A national automotive group claims that the typical driver puts miles per year on his or her main vehicle. We want to test whether AP庐 Statistics teachers are typical drivers. Explain why an appropriate pair of hypotheses for this test is role="math" localid="1654244859513" versus .
c. Compute the standardized test statistic and P -value for the test in part (b). What conclusion would you draw at the significance level?
d. Does the confidence interval in part (a) lead to the same conclusion as the test in part (c)? Explain your answer.
Do beavers benefit beetles? Researchers laid out circular plots, each meters in diameter, at random in an area where beavers were cutting down cottonwood trees. In each plot, they counted the number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth so beetles prefer them. If so, more stumps should produce more beetle larvae
Here is computer output for regression analysis of these data. Construct and interpret a confidence interval for the slope of the population regression line. Assume that the conditions for performing inference are met.
role="math" localid="1654159204144"
T12.10We record data on the population of a particular country from 1960 to 2010. A
scatterplot reveals a clear curved relationship between population and year. However, a different scatterplot reveals a strong linear relationship between the logarithm (base 10) of the population and the year. The least-squares regression line for the transformed data is
Based on this equation, which of the following is the best estimate for the population of the country in the year 2020?
a. 6.7
b. 812
c. 5,000,000
d. 6,700,000
e. 8,120,000
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