Chapter 12: Q. AP4.2 (page 827)
If and P(B)=0.52 and events A and B are independent, what is P(A or B)?
a. 0.1248
b. 0.28
c. 0.6352
d. 0.76
e. The answer cannot be determined from the given information.
The P(A or B) is 0.76
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Braking distance How is the braking distance for a motorcycle related to the speed at which the motorcycle was traveling when the brake was applied? Statistics teacher Aaron Waggoner gathered data to answer this question. The table shows the speed (in miles per hour) and the distance needed to come to a complete stop when the brake was applied (in feet).
a. Transform both variables using logarithms. Then calculate and state the least-squares regression line using the transformed variables.
b. Use the model from part (a) to calculate and interpret the residual for the trial when the motorcycle was traveling at mph.
Prey attracts predators . Here is computer output from the least-squares regression analysis of the perch data
a. What is the estimate for ? Interpret this value.
b. What is the estimate for ? Interpret this value.
c. What is the estimate for ? Interpret this value.
d. Give the standard error of the slope . Interpret this value.
Boyle’s law Refers to Exercise 34. We took the logarithm (base ) of the values for both volume and pressure. Here is some computer output from a linear regression analysis of the transformed data.
a. Based on the output, explain why it would be reasonable to use a power model to describe the relationship between pressure and volume.
b. Give the equation of the least-squares regression line. Be sure to define any variables you use.
c. Use the model from part (b) to predict the pressure in the syringe when the volume is cubic centimeters.
After a name-brand drug has been sold for several years, the Food and Drug Administration (FDA) will allow other companies to produce a generic equivalent. The FDA will permit the generic drug to be sold as long as there isn't convincing evidence that it is less effective than the name-brand drug. For a proposed generic drug intended to lower blood pressure, the following hypotheses will be us
where
true mean reduction in blood pressureusing the generic drug true mean reduction in blood pressureusing the name@brand drug
true mean reduction in blood pressure
using the generic drug
true mean reduction in blood pressure
using the name@brand drug
In the context of this situation, which of the following describes a Type I error?
a. The FDA finds convincing evidence that the generic drug is less effective, when in reality it is less effective.
b. The FDA finds convincing evidence that the generic drug is less effective, when in reality it is equally effective.
c. The FDA finds convincing evidence that the generic drug is equally effective, when in reality it is less effective.
d. The FDA fails to find convincing evidence that the generic drug is less effective, when in reality it is less effective.
e. The FDA fails to find convincing evidence that the generic drug is less effective, when in reality it is equally effective.
Brawn versus brain How is the weight of an animal’s brain related to the weight of its body? Researchers collected data on the brain weight (in grams) and body weight (in Page Number: 813 Page Number: 814 kilograms) for species of mammals. The following figure is a scatterplot of the logarithm of brain weight against the logarithm of body weight for all species. The least-squares regression line for the transformed data is
Based on footprints and some other sketchy evidence, some people believe that a large ape-like animal, called Sasquatch or Bigfoot, lives in the Pacific Northwest. Bigfoot’s weight is estimated to be about kilograms (kg). How big do you expect Bigfoot’s brain to be?
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