Statistics 410, Fall 2011
Solutions to homework 9, due 11/23/11
12.22 Let be the mean thickness of the plastic sheets being manufactured.
(a) H0 : = 1.2mm.
(b) Ha : = 1.22mm.
(c) The signicance level is = .05.
(d) The test statistic is 1.2275, and we expe
Statistics 410, Fall 2011
Solutions to homework 8, due 11/16/11
11.11 (a) This corresponds to being 1 standard deviation above the mean.
So .15866.
(b) For the sample total, the standard deviation is n = 2 5 = 10.
This is then two standard deviations over
Statistics 410, Fall 2011
Solutions to homework 5, due 10/26/11
6.1 (a) = .5. = 0.
(b) = .0625, = 0.
(c) = .525 , = 0.
(d) = .5100 , = 0.
6.2 (a) is the probability of no aces in 24 rolls if the die is fair. This
5 24
is 6 = .0126.
(b) = 0. That is, if th
Statistics 410, Fall 2011
Solutions to homework 4, due 10/19/11
4.16 U is the dosage level (1 through 7). Each level has probability 1/7,
so the histogram is like Figure 4.7 except height 1/7 and with 7 bars
instead of 6.
b.
1
1
1
1
= E (X ) = 1 + 2 + +
Statistics 410, Fall 2011
Solutions to homework 3, due 10/12/11
3.15 We are assuming that P (E ) = P (E |F ). The second number is
P (E F )/P (F ). Solving
P (E ) =
P (E F )
P (F )
gives P (E F ) = P (E ) P (F ). Now we calculate
P (F |E ) =
P (E ) P (F )
1.13
Statistics 410, Fall 2011
Solutions to homework 1, due 9/28/11
a. Let f (x) = x(1 x) = x x2 . This is a quadratic with negative
x2 coecient, so its graph is a parabola open down. It has
its (global) maximum when the derivative is 0, which is when
0 =
Statistics 410, Fall 2011
Solutions to homework 1, due 9/28/11
1.2 We are making 4 independent observation of weight, so our total
weight should be 4 30 = 120 grams give or take the Pythagorean
sum for the error terms. Each standard error is 5 grams, so t
Midterm Exam
Statistical Methods and Models - Math 410, Fall 2011
October 28, 2011
You may use a calculator, and you may bring in one sheet (8.5 by 11 or
A4) of notes. Otherwise closed book. You may use the backs of the exam
sheets if you need more space
Practice Midterm Exam
Statistical Methods and Models - Math 410, Fall 2011
October 21, 2011
You may use a calculator, and you may bring in one sheet (8.5 by 11
or A4) of notes. Otherwise closed book.
(1) (a) You roll a fair (six sided) die twice. The tota
Practice Midterm Exam
Statistical Methods and Models - Math 410, Fall 2011
October 21, 2011
You may use a calculator, and you may bring in one sheet (8.5 by 11
or A4) of notes. Otherwise closed book.
(1) (a) You roll a fair (six sided) die twice. The tota
Practice Final Exam
Statistical Methods and Models - Math 410, Fall 2011
December 4, 2011
You may use a calculator, and you may bring in one sheet (8.5 by 11
or A4) of notes. Otherwise closed book.
The real test will have about 10 questions.
Be sure when
Practice Final Exam
Statistical Methods and Models - Math 410, Fall 2011
December 4, 2011
You may use a calculator, and you may bring in one sheet (8.5 by 11
or A4) of notes. Otherwise closed book.
The real test will have about 10 questions.
Be sure when