Homework 1
Math 161B - Spring 2014
General Remarks: Please write your answers on a fresh sheet of paper (never in the
margins of this page). Put problems in order (answer to problem 1 rst, then answer to
problem 2, etc.) If you want to tackle the problems
Solution for Homework 2
Math 161B - Spring 2014
1. Bobby is supposed to brush his teeth every night before going to bed. One night,
his mom asks him whether hes already brushed and he says yes. To check she
touches his toothbrush and nds it dry.
This stor
Solution for Homework 1
Math 161B - Spring 2014
1. Let X be a random variable with a Normal( = 0, 2 = 1) distribution. For this
problem you will need either a Normal probability table (such as table A.3 in the
appendix of your textbook) or software that c
Solution for Homework 4
Math 161B - Spring 2014
1. You have seen in class that the sums of square for treatment, error and total are
dened as
I
J
(i x )2
x
SSTr =
i=1 j =1
I
J
(xij xi )2
SSE =
i=1 j =1
I
J
(xij x )2
SST =
i=1 j =1
Show (algebraically) tha
Homework 2
Math 161B - Spring 2015
General Remarks: To include computer output in your homework, please cut and paste
relevant output from SPSS (or some other program) into a text-editor such as Word. Label
dierent parts of the output as appropriate. Figu
Solution for Homework 6
Math 161B - Spring 2014
In 1981 the British government conducted a survey on household spending on tobacco
products and alcoholic beverages. They collected individual responses on the total weekly
spending per household (in British
Homework 2
Math 161B - Spring 2014
1. Bobby is supposed to brush his teeth every night before going to bed. One night,
his mom asks him whether hes already brushed and he says yes. To check she
touches his toothbrush and nds it dry.
This story actually de
Solution for Homework 3
Math 161B - Spring 2014
1. An experiment has been conducted to test whether directed reading activities in the
classroom help elementary school students improve aspects of their reading ability.
A treatment class of 21 third-grade
Homework 4
Math 161B - Spring 2014
1. You have seen in class that the sums of square for treatment, error and total are
dened as
I
J
(i x )2
x
SSTr =
i=1 j =1
I
J
(xij xi )2
SSE =
i=1 j =1
I
J
(xij x )2
SST =
i=1 j =1
Show (algebraically) that the identit
M. Bremer
Math 161B - Spring 2015
Welcome to Math 161B - Applied Probability & Statistics II
Let me introduce myself: My name is Martina Bremer, my oce is in Duncan Hall
(215) and the best way to reach me is usually by e-mail (martina.bremer@sjsu.edu).
I
Solution for Homework 5
Math 161B - Spring 2014
1. Iron-deciency anemia is the most common form of malnutrition in developing countries, aecting about 50% of children and women and 25% of men. Iron pots for
cooking foods had traditionally been used in man
Warm-up Assignment
Math 161B - Spring 2015
1. Locate and bookmark the course website
http:/www.math.sjsu.edu/bremer/Teaching/Math161B/.
This site is where you will obtain your homework assignments (click on the Homework tab) and later nd solutions to home
Solution for Homework 1
Math 161B - Spring 2015
General Remarks: Please write your answers on a fresh sheet of paper (never in the
margins of this page). Put problems in order (answer to problem 1 rst, then answer to
problem 2, etc.) If you want to tackle
M. Bremer
Math 161B - Spring 2015
Two-Sample Hypothesis Tests
Note that in some of the examples previously discussed we have assumed (for simplicity) that the standard deviations of observations we made are known. In real
life, this is of course rarely th
M. Bremer
Math 161B - Spring 2015
Review of Math 161A material
The Central Limit Theorem
Remark: The Central Limit Theorem (CLT) is one of the most important results in
probability theory. It was rst stated by Abraham DeMoivre in 1733 and generalized
by P
Homework 1
Math 161B - Spring 2015
General Remarks: Please write your answers on a fresh sheet of paper (never in the
margins of this page). Put problems in order (answer to problem 1 rst, then answer to
problem 2, etc.) If you want to tackle the problems
Homework 6
Math 161B - Spring 2014
In 1981 the British government conducted a survey on household spending on tobacco
products and alcoholic beverages. They collected individual responses on the total weekly
spending per household (in British pounds sterl
Solution for Quiz 1
Math 161B - Spring 2014
Suppose that is an unbiased estimate for the unknown population parameter . Shown
below is the distribution of
V ar()
together with some selected quantiles.
Suppose that a random sample has been taken from the
Homework 7
Math 161B - Spring 2014
1. A quantitative response y is regressed against a quantitative predictor x. R-output
for the problem is shown below. Some output quantities are missing.
(a) Find the value of the missing ANOVA F -test statistic.
(b) Wr
Homework 3
Math 161B - Spring 2014
1. An experiment has been conducted to test whether directed reading activities in the
classroom help elementary school students improve aspects of their reading ability.
A treatment class of 21 third-grade students part
Homework 1
Math 161B - Spring 2017
General Remarks: Please write your answers on a fresh sheet of paper (never in the
margins of this page). Put problems in order (answer to problem 1 first, then answer to
problem 2, etc.) If you want to tackle the proble
Homework 5
Math 161B - Spring 2014
1. Iron-deciency anemia is the most common form of malnutrition in developing countries, aecting about 50% of children and women and 25% of men. Iron pots for
cooking foods had traditionally been used in many of these co