Chapter 12: Q. 2 (page 799)
If and events
are independent, what is )?
result is:
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An old saying in golf is “You drive for show and you putt for dough.” The point is that good putting is more important than long driving for shooting low scores and hence winning money. To see if this is the case, data from a random sample of of the nearly players on the PGA Tour’s world money list are examined. The average number of putts per hole and the player’s total winnings for the previous season is recorded. A least-squares regression line was fitted to the data. The following results were obtained from statistical software.
Suppose that the researchers test the hypotheses : . The value of the t statistic for this test is
(a)
(b)
(c)
(d)
(e)
Below are boxplots of SAT Critical Reading and Math scores for a randomly selected group of female juniors at a highly competitive suburban school.
Which of the following cannot be justified by the plots shown above?
(a) The maximum Critical Reading score is higher than the maximum Math score.
(b) Critical Reading scores are skewed to the right, whereas Math scores are somewhat skewed to the left.
(c) The median Critical Reading score for females is slightly higher than the median Math score.
(d) There appear to be no outliers in the SAT score distributions.
(e) The mean Critical Reading score and the mean Math score for females are about the same.
Use this linear model to predict the U.S. population in . Show your work.
An experimenter wishes to test whether or not two types of fish food (a standard fish food and a new product) work equally well at producing fish of equal weight after a two-month feeding program. The experimenter has two identical fish tanks (1 and 2) to put fish in and is considering how to assign , each of which has a numbered tag, to the tanks. The best way to do this would be to
(a) put all the odd-numbered fish in one tank, the even in the other, and give the standard food type to the odd-numbered ones.
(b) obtain pairs of fish whose weights are virtually equal at the start of the experiment and randomly assign one to Tank 1 and the other to , with the feed assigned at random to the tanks.
(c) proceed as in part (b), but put the heavier of the pair into .
(d) assign the fish at random to the two tanks and give the standard feed to .
(e) not proceed as in part (b) because using the initial weight in part (b) is a nonrandom process. Use the initial length of the fish instead.
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. A scatterplot of which of the following should have a roughly linear pattern?
(a) [time, ln(distance)]
(b) [ln(time), distance]
(c) [ln(time), ln(distance)]
(d) [ln(distance), time]
(e) [distance, ln(time)]
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