Name:____________________________ Section:____

Include your name, section number, and homework number on every page that you hand in. Enter ``Section 1'' for the morning class (10-11AM) and ``Section 2'' for Professor Sawyer's class (12-1PM).

Begin the exposition of your work on this page. If more room is needed, continue on sheets of paper of exactly the same size (8.5 x 11 inches), lined or not as you wish, but not torn from a spiral notebook. You should do your initial work and calculations on a separate sheet of paper before you write up the results to hand in.

Output from Excel must have your name and the homework number in cell A1.

1. (Like problem 10.4 on page 433.) A research group is interested in the development of alcoholism in children who were adopted at birth and how this relates to alcoholism in their biological (not adoptive) parents. Among a group of 55 men who had at least one alcoholic biological parent, ten (10) were judged to be presently alcoholic. These were compared with a group of 78 men whose biological parents were not alcoholic. In the second group, four (4) were judged to be presently alcoholic.

2. Do problem 10.14 on page 447. Note that the output on page 447 has information that could be put in three different 3x4 tables:

3. A political pollster conducts a poll to test voter opinions about his candidate among 6 different groups of voters. The results were

Group: A B C D E F | SUM -------------------------------------------------------- Approve 44 21 91 81 37 28 | 302 Disapprove 48 24 119 152 53 27 | 423 No opinion 29 28 57 47 29 21 | 211 -------------------------------------------------------- SUM: 121 73 267 280 119 76 | 936

`Contingency Tables`

spreadsheet on the `Example Spreadsheets`

page on the Math320
Web site.)
4. Do exercise 10.24 on page 458.

5. The heights and weights of 10 students are

Student#: 1 2 3 4 5 6 7 8 9 10 ------------------------------------------------------------ Height: 75 57 63 70 59 69 70 74 69 67 Weight: 134 100 134 158 104 119 116 138 118 129 ------------------------------------------------------------(i) Find the sample correlation coefficient between height and weight for the 10 students. Show how you found this number.

(ii) Is height and weight significantly correlated in this data? Assume that height and weight are both normally distributed and test the hypothesis H

6. The heights and weights of a group of 73 students was found to satisfy

Sum(X) = 5021 Sum(X^2) = 347873 Sum(Y) = 9464 Sum(Y^2) =1256309 Sum(XY) = 655733where X