# AMS7, Fall 2012, Section 01: Homework Assignments

Homework Assignments

#1 for the Quiz on October 4:

Section 1.2 (pp. 9-10): 1, 7, 13, 17, 19
Section 1.3 (pp. 18-20): 1, 3, 5, 7, 31

#2 for the Quiz on October 11:

Section 2.3: 16
Section 2.4: 1, 5 (parts a-c only, i. e., find the mean, median, and mode, but don't worry about the midrange)
Section 2.5: 1, 3
Section 2.6: 7
Section 2.7: 1
Section 3.2: 1, 3, 5

#3 for the Quiz on October 18:

Section 3.3: 13, 15
Section 3.4: 9
Section 3.5: 7, 17, 21
Section 4.2: 7
Section 4.3: 3, 11, 13 (you can use Table A-1 or the binomial formula for questions 11 and 13)
Section 4.4: 11, 13
Section 4.5: 5 (part a only)

#4 for the Midterm on October 30:

Section 5.3: 1, 3, 7, 9
Section 5.5: 1, 7, 9, 11, 13
Section 5.6: 13, 15, 23
Section 6.2: 27, 31, 35

Questions for the Review session on October 25 (no quiz on Oct 25):

1) Suppose the number of fleas on a stray dog follows a Poisson distribution with mean 28.  Would it be unusual to find a dog with 38 fleas?

2) Suppose you play a daily lottery where you have a 1 in 10 chance of winning something.
a) If you play for 10 days in a row, what is the probability you win at least once?
b) What is the expected number of times you win?

3) SAT math scores are normally distributed with a mean of 512 points and a standard deviation of 112 points.
a) If a random sample of 12 people take the test, what is the probability their average score will be under 500?
b) Suppose a college wants to admit only those applicants in the top 10%.  What cut-off should they use?

4) A study of perception tested 80 randomly selected men for color blindness and found 7 with red/green color blindness.
a) Construct a 95% confidence interval for the population proportion of men with red/green color blindness.
b) Women have a 0.25% rate of red/green color blindness.  Can we safely conclude that women have a lower rate of red/green color blindness than men?

#5 for the Quiz on November 8:

Section 6.3: 21, 23
Section 6.4: 1, 3, 7, 13, 17

#6 for the Quiz on November 15:

Section 7.2: 5, 7, 37, 39, 41
Section 7.3: 5, 17
Section 7.4: 9
Section 7.5: 17, 21, 25
Section 8.2: 17, 19

optional exercises for those of you interested in learning more about power: Section 7.2: 43, 44

#7 for the Quiz on November 29:

Section 8.3: 15, 23
Section 8.4: 9
Section 9.2: 23
Section 9.3: 3, 9, 19
For 9 and 19, use JMP to fit the line; also test for a significant slope, and find the coefficient of determination R^2.
The dataset for 19 is on the class datasets website.

For the review session on December 6, please see the PDF file below.

#8 for the final exam on December 11:
(note that the final is cumulative, these problems are for topics not already covered above)

Section 9.5: 1, 2, 3, 4, 9
Section 10.2: 1, 11
Section 10.3: 9, 15
Section 11.2: 3 (note that for part (d), the critical value is given in the computer output), 9 (use JMP)
The datasets for 9.5 #9 and 11.2 #9 are on the class datasets website.