Shafer and Zhang, Introductory Statistics

Odd numbered answers are in the text

even numberd and other answers that I have listed are at
http://www.math.uni.edu/~campbell/stat/assSZans.html

1. If there are 27 yellow balloons, 37 green balloons, 13 blue balloons, and 43 Panther purple balloons, convert these frequencies to relative frequencies.

2. Which of the following information about the Ivy League Schools could be displayed in a pie chart with one wedge per school.? a) tuition (cost of attendance) b) number of students c) endowment of the schools d) school mascot e) percentage of minority students f) undergraduate gpa

p.8 - 10

p.14 - 1, 3

p.22 - 2, 3, 9, 11

For problem 3 above, how many classes do you have, and what are the class sizes?? What are the class marks? class boundaries? If you wanted to have three classes (categories) what class size should you use, and what would be your class marks and boundaries? If you wanted to have 7 classes, what class size should you have, and what would be your class marks and class boundaries?

p.42 - 1, 5 (also find the midrange), 7, 13 (also find the midrange), 19, 21 (also find the midrange)

p.57 - 3, 5, 7, 13

p.70 - 3 (also find the 20th and 60th percentiles), 7, 9, 15, 19, 21, 26, 29, 31, 37

p.90 - 1, 5, 7, 9

For a histogram with class marks (and bar heights): 125 (12), 150 (32), 175 (28), 200 (7), what are greatest and least possible values for the mean and median of the underlying data? What is the 'best' estimate for the mean? What is the 'best' estimate for the median?

[First test]

p.106 - 3, 7, 11, 13, 17, 21

p. 125 - 5, 7, 11, 15

p.148 - 1, 3, 5, 7, 9, 11, 13, 22, 24

p. 160 - 1

p. 174 - 1, 3, 9 (you must also assume independence)

If there are 7 students in a class, how many ways can you choose a president, vice-president, and secretary-treasurer? If there are seven students in a class, how many ways can you choose a committee of three? If there are four boys and three girls in a class, how many different orders of gender are possible (i.e., how many different arrangements are there of the letters MMMMFFF)?

p. 195 - 1, 3, 5 (do not use the tables), 9, 15, 18

p. 212 - 3, 9

p. 221 - 1, 3, 7

p. 231 - 1, 3, 11, 15

p. 247 - 1, 5, 7, 9, 11, 23

If 70% of voters like Alfred, what is the probability that more than 60 voters in a random sample of 80 voters will like Alfred?

p. 255 - 1, 3

p. 267 - 1, 3, 5, 15

[second test]

p. 280 - 3, 5, 7, 13, 15, 17 [I shall cover this section with confidence intervals for proportions (section 7.3, p. 312); I included problems 13, 15, 17 so you will know that data and questions can be expressed either in terms of proportions or raw count, but you must convert everything to proportions (or everything to raw count) to solve the problem]

p. 294 - 1, 3, 5, 7

p. 304 - 1 (I do not cover the t-distribution, this is a reminder that if the population standard deviation sigma is known, you use the normal distribution no matter how small n is if the underlying population is normal)

p. 314 - 1, 5, 7, 9

p.328 - 1, 3, 5, 7

p. 344 - 1, 3

p. 351 - 1, 3, 5, 7, 9, 19

p. 364 - 1, 5, 7, 9 (also construct a 90% confidence interval for the mean of the revised test)

p. 388 - 1, 3, 5, 11, 13

[I do not cover chapter 9]

[I do chapter 10 after the third test]

p. 589 - 1, 3

p. 575 - 1, 7, 9, 11

[Third test]

p. 481 - 1, 5, 7, 13

p. 490 - 1, 5, 11, 23, 25, 27

p. 515 - 1, 5, 11

p. 537 - 1, 5, 11 [N.B.: $b_{1} \times SS_{xy}/SS_{xx} = (SS_{xy}/\sqrt{SS_{xx}SS_{yy}})^{2}$]

p. 545 - 1a, 5a, 11ac

[Final]