# E no prediction about who will win can be made with

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(E) No prediction about who will win can be made with 95% confidence.
Unauthorized copying or reuse ofany part of this page is illegal.GO ON TO THE NEXT PAGE.-31-29. Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parentsalways feed the older eaglet until it has had its fill, and then they feed the younger eaglet. This results in anunequal chance of survival for the two eaglets. Suppose that the older eaglet has a 50 percent chance of survival.If the older eaglet survives, the younger eaglet has a 10 percent chance of survival. If the older eaglet does notsurvive, the younger eaglet has a 30 percent chance of survival. LetXbe the number of eaglets that survive.Which of the following tables shows the probability distribution ofX?(A)x012( )p x131313(B)x012( )p x141214(C)x012( )p x0.350.600.05(D)x012( )p x0.050.900.05(E)x012( )p x0.100.300.50
Unauthorized copying or reuse ofany part of this page is illegal.GO ON TO THE NEXT PAGE.-32-30. A statistics teacher wants to determine whether there is a linear relationship between high school students’heights, in inches (in), and the lengths of their feet, in centimeters (cm). The teacher obtains height andfoot-length measurements for a random sample of 23 students at the high school and generates thefollowing graph and computer output.TermEstimateStd Errort RatioProb>tIntercept-13.8679.410-1.4740.1554Height0.5830.1384.2080.0004Provided that the assumptions for regression inference are satisfied, which of the following provides a 95 percentconfidence interval estimate of the slope of the population regression line for predicting foot length from height?(A)0.583(1.717)(0.138)±(B)0.583(2.080)(0.138)±(C)()0.1380.583(1.960)23±(D)()0.1380.583(2.074)23±(E)()0.1380.583(4.208)23±
Unauthorized copying or reuse ofany part of this page is illegal.GO ON TO THE NEXT PAGE.-33-31. Each value in a sample has been transformed by multiplying by 3 and then adding 10. If the original sample hada variance of 4, what is the variance of the transformed sample?(A)4(B) 12(C) 16(D) 22(E) 36
Unauthorized copying or reuse ofany part of this page is illegal.GO ON TO THE NEXT PAGE.-34-32. A controversial issue in the sport of professional soccer is the use of instant replay for making difficult goal linedecisions. Each person in a representative sample of 102 players, fans, coaches, and officials was asked his orher opinion about the use of instant replay for goal-line decisions. The data are summarized in the two-wayfrequency table below.OpinionFavor UseOppose UseCategoryPlayers222Fans186Coaches1526Officials310In testing to see whether opinion with respect to the use of instant replay is independent of the category of theperson interviewed, a chi-square test statistic of 27.99 and ap-value less than 0.001 were calculated. Which ofthe following statements is correct?

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