Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University
2 Feb 2009
Due Today. From page 189, exercises 4, 5, 8, 14.
could be replaced by the sample standard deviation S , which is the square root of the sample
Due Wednesday. From page 191, exer
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 27 Mar 2009
Monday and Wednesday. Presentations by you. Exercises 4, 5, 6, or 7 from chapter 10, pages 387 389. Coming up. Presentations from exercises begin- and ning on page 390: 13, 16,
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 1 Apr 2008
When k was equal to 1, we found the least Monday. Presentations from exercises beginning squares line y = 0 + 1 x. It was a line in the plane on page 390: 13, 16, 17, 18, 19, 20,
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 16 Mar 2009
Second Test. Wednesday, 25 Mar 2009. On chapAs in the last chapter, we can have hypothesis ters 69. tests for the dierence of the means where the null hypothese H0 : p1 p2 = d i
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 9 Mar 2009
Due Today. Page 262: 1, 2, 9, 11, 12. Due Friday. From chap. 7, p. 265, exercises 17, 18, 19. Today. Inferences for two samples. Independent samples. General questions for statis
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 18 Mar 2009
Second Test. Wednesday, 25 Mar 2009. On chap- Then the least squares line that minimizes E(a, b) has ters 69. Due Friday. From chapter 8, exercise 14, and from Chapter 9, exerci
Math 218 Mathematical Statistics
Second Test Answers March 2006
Assume that the percentage varies across families according to a normal distribution with unknown mean and known Problem 1. [20; 10 points each part] Recall that the margin = 5%. of error E o
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 13 Mar 2009
Second Test. Wednesday, 25 Mar 2009. Due Today. From chapter 7, p. 265, exercises 17, 18, 19. Due Monday. From chapter 8, p. 290, exercises 1, 2, 3, 9. Last time. Matched pairs
Summary of basic probability theory, part 2
D. Joyce, Clark University Math 218, Mathematical Statistics, Jan 2008
Expectation. The expected value E(X), also called the expectation or mean X , of a random variable X is dened dierently for the discrete and
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 6 Feb 2009
1 Due Monday. From page 229, exercises 1, 2ab, 5, to be the sample variance S 2 = n1 (Xi X)2 , although sometimes 2 is taken to be the sample 7. 1 variance n (Xi X)2 For the next
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 13 Feb 2009
p(1 p) is between 0 and 1 , and the maximum 1 4 4 1 occurs when p = 2 . Therefore, 2 is between 0 and 1 Friday. First test on chapters 3, 4, and 5. , so is between 0 and 1 . 4 2
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 23 Feb 2009
the associated level of signicance is = 0.05. For a two-sided condence interval, which is the usual Due Monday. Due: From chap. 7, page 262, kind, /2 of the area under each end
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University
11 Feb 2009
Due Today. From page 658, exercises 1, 3.
=
First test. Feb. 20.
1
2
n
exp
1
2 2
n
(xi )2
i=1
Next, to nd the maximum likelihood estimators
Last meeting. Discussed maximum lik
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University
9 Feb 2009
Due Today. From page 229, exercises 1, 2ab, 5, Intuitively, its p = 0.47, and thats the maximum
likelihood estimator. Well verify that guess is cor7.
rect after stating some gene
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University
30 Jan 2009
Due Monday. From page 189, exercises 4, 5, 8, is understood. The letter is the Greek letter nu,
and it is often used for the number of degrees of
14.
freedom.
Due Wednesday. Fro
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 18 Feb 2008
Due Wednesday. Page 231: 1720, 22. Test Friday. Thru chapter 5. Next week. Begin chapter 7. Basically, it goes into detail about the statistical tests that were introduced in ch
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University
26 Jan 2009
can come up besides these two standard types, for
instance, two- and three-dimensional values.
For next meeting. Read section 5.1 on sampling
Look at exercises p. 150, 1 and 4 t
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 28 Jan 2009
Due Friday. From page 189, exercises 4, 5, 8, 14. For next meeting. Read through section 5.3 Last meeting. Survey of the chapter of summarizing and exploring data. Today. The di
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 20 Mar 2008
Second Test. Wednesday, 25 Mar 2009. On chap- sse/(n - 1) for the three unknown parameters 0 , 1 , and 2 . The first two are normal distributions ters 69. with means being the p