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Chapter 12: Q. 21 (page 764)
The equation of the least-squares regression line for predicting selling price from appraised value is
(a)
(b)
(c)
(d)
(e)
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Could mud wrestling be the cause of a rash contracted by University of Washington students? Two physicians at the University of Washington student health center wondered about this when one male and six female students complained of rashes after participating in a mud-wrestling event. Questionnaires were sent to a random sample of students who participated in the event. The results, by gender, are summarized in the following table.
From the chi-square test performed in this study, we may conclude that
(a) there is convincing evidence of an association between the gender of an individual participating in the event and development of a rash.
(b) mud wrestling causes a rash, especially for women.
(c) there is absolutely no evidence of any relation between the gender of an individual participating in the event and the subsequent development of a rash.
(d) development of a rash is a real possibility if you participate in mud wrestling, especially if you do so on a regular basis.
(e) the gender of the individual participating in the event and the development of a rash are independent.
In the casting of metal parts, molten metal flows through a “gate” into a die that shapes the part. The gate velocity (the speed at which metal is forced through the gate) plays a critical role in die casting. A firm that casts cylindrical aluminum pistons examined a random sample of 12 pistons formed from the same alloy of metal. What is the relationship between the cylinder wall thickness (inches) and the gate velocity (feet per second) chosen by the skilled workers who do the casting? If there is a clear pattern, it can be used to direct new workers or to automate the process.
Construct and interpret a confidence interval for the slope of the population regression line. Explain how this interval is consistent with the results of Exercise R12.2.
Some high school physics students dropped a ball and measured the distance fallen (in centimeters) at various times (in seconds) after its release. If you have studied physics, then you probably know that the theoretical relationship between the variables is distance . A scatterplot of the students’ data showed a clear curved pattern. Which of the following single transformations should linearize the relationship? I. II. III.
(a) I only
(c) III only
(e) I and III only
(b) II only
(d) I and II only
The table below provides data on the political affiliation and opinion about the death penalty of randomly selected voters from a congressional district.
Which of the following does not support the conclusion that being a Republican and favoring the death penalty are not independent?
(a) (d)
(b) (e)
(c)
A large machine is filled with thousands of small
pieces of candy, of which are orange. When money
is deposited, the machine dispenses randomly selected
pieces of candy. The machine will be recalibrated if a
group of candies contains fewer than that are
orange. What is the approximate probability that this will
happen?
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