3 Question 6 10 pts Suppose a scattered diagram is for a pair of data hey) is plotted, and the scales for the horizontal and vertical scales are chosen such that I 1 unit on horizontal scale = 1 SD for x-values I 1 unit on vertical scale = 1 5D for y-values Decide each of the following statements is true orfalse. |. The slope for the SD line is either 1 or -1. II. The 5D line and the regression line for y on x intersects at the point of average. "I. The 5D line is a smoothed version of the graph of averages. IV. The regression line for v on x can be vertical. V. The stronger the correlation between x and v is, the closer the 5D line and the regression lines are. \\I [Choose] True False 3 Question 7 5 pts Three cards will be dealt from a well-shufed deck. What is the chance of getting an ace or a king among the 3 cards? {A deck has 52 cards, of which 4 are aces and 4 are kings.) A survey research company uses random digit dialing. They have a contract, to estimate the percentage of people watching Spanish-language television in several Southwestern cities. They took a sample of size 1,000 in Austin, Texasiwhich has about 600,000 residents. They are satised with the accuracy of the estimates forAustin. Dallas has about twice the population of Austin, but similar demographics. To get about the same accuracy in Dallas as in Austin. what should the sample size the company take from Dallas, assuming that they would use exactly the same sampling process? 0 Need more information. 0 2,000 O 1.000 O 500 O 4.000 D Question 9 6 pts Twenty-five draws are made at random with replacement from the box of 4 tickets: "1", "1", "2", "4". Matching the following graphs with descriptions. I1. III. [ Choose ] The probability histogram for the average of 20 draws II. The histogram for the numbers in the 20 draws The histogram for the numbers in the box III. [ Choose ]D Question 10 14 pts Five hundred draws are made at random with replacement from a box with 10,000 tickets. The average of the box is unknown. However, the average of the draws was 71.3, and their SD was about 2.3. Decide each of the following statement is true or false. I. The average of the box is likely to be around 71.3, and the SD of the box is likely to be around 2.3 II. The SE computed by - ~ 0.1 says that this number 2.3 is likely to be off by 0.1 or so. Ill. The SE computed by -~ 0.1 says that this number 71.3 is likely to be off by 0.1 or so. IV. A 68%-confidence interval is for the average of box is 71.3 + 0.1. V. The chance for the actual average of box to be within the range 71.3 + 0.1 is about 68%. VI. About 68% of tickets in the box are within the range of 71.3 + 0.1. VII. About 68% of tickets in the box are within the range of 71.3 + 2.3. [ Choose ] True False III. [ Choose ] V IV. [ Choose ] V V [ Choose ] V VI. [ Choose ] V VII. [ Choose ] V