l
l
Important Formulas
chapter 3 Data Description
Mean for individual data: X = 27X
Mean for grouped data: X = Eff-1X,"
Standard deviation for a sample:
2(X 202 MEX?) (2X)2
s = or s =
n 1 n(n 1)
(Shortcut formula)
Standard deviation for grouped dat
Cumulative Standard Normal Distribution
For z values less than 3.49, use 0.0001. Table E
Cumulative Standard Normal Distribution
For 7, values greaer than 3.49, use 0.9999. Condence
intervals 80% 90%
_m
m
l
\OOOQQUIJzLNt-I
"This value has been rou
Linda L. Wray-Ventura
Library Assignment:
MATH220 Statistical Methods
Instructor: J. Bailey
December 4, 2015
Rehabilitation medicine in countries of Central/Eastern Europe
Document Type: Article
Authors: Eldar, Reuben et al.
Subjects: Medical Rehabilitati
Wray-Ventura 1
Linda L. Wray-Ventura
MATH220 Statistical Methods
Instructor: J. Bailey
December 4, 2015
Rehabilitation medicine in countries of Central/Eastern Europe
The intention of this study was to describe the attributes of rehabilitation and
Medicin
Benchmark Test 1 Review
Honors Calculus
You may use a calculator on this part of the review.
1.
2 + 1, < 0
Evaluate the function f(x) = cfw_
at f(5).
2 + 2, 0
5 falls in the domain x 0, so f(5) = 2(5) + 2 = 12
2.
3
(3) =
2
2
3
3
( 2 ) = cos ( 2 )
(3) =
G
Explain whether or
not f(x) =
3
x 27
2
x 2x+9
is continuous.
f(x) =
x3 27
x2 2x+9
=
(x3)(x2 +3x+9)
x2 2x+9
x 2 2x + 9 is not factorable, so use the quadratic formula.
(2)(2)2 4(1)(9)
232
24i2
x=
=
=
2(1)
2
2
= 1 2i2
Because there are no real zeros of the
AP Practice Chapter 1
Write a Java program that will print out the following message (including the row of
equal marks):
Computer Science, Yes!
=
AP Practice Chapter 2 Part 1
1. What is the difference between a variable and a constant?
2. Indicate whether
Momentum, Impulse, and Energy with Collisions: Accident Reconstruction
Background: Your consulting agency has an extensive knowledge of and background in physics. Your agency
has recently been subpoenaed to provide expert testimony at an automobile accide
Bouncing Balls
In an ideal environment, energy is conserved. Under normal circumstances we are not in an ideal environment.
Other forces are present which impedes the conservation of energy. By observing the simple bounce of various
types of balls, we can
Honors Calculus
Summer Work
Name_
This assignment is due the first day class meets in September. It will count as your first homework assignment. You
can use textbooks or online resources to complete it. The questions included in the assignment are all co
Take Test: Homework #8
Content
Assistive Technology Tips [opens in new window]
Test Information
Instructions
Description
Chapter 8 homework.
Instructions
Multiple Attempts Not allowed. This test can only be taken
once.
Force Completion This test can be sa
Take Test: Homework #9
Content
Assistive Technology Tips [opens in new window]
Test Information
Instructions
Description
Chapter 9 Homework
You should print this out, work on it, then reopen the homework to submit your
answers. Most of the exercises are i
Chapter 13: The Analysis of Variance
13.1
2 The summary statistics are: y1 = 1.875, s12 = .6964286, y 2 = 2.625, s 2 = .8392857, and n1 = n2 = 8. The desired test is: H0: 1 = 2 vs. Ha: 1 2, where 1, 2 represent the mean reaction times for Stimulus 1 and 2
Chapter 15: Nonparametric Statistics
15.1 Let Y have a binomial distribution with n = 25 and p = .5. For the twotailed sign test, the test rejects for extreme values (either too large or too small) of the test statistic whose null distribution is the same
Chapter 5: Multivariate Probability Distributions
5.1 a. The sample space S gives the possible values for Y1 and Y2: S AA AB AC BA BB BC CA CB CC (y1, y2) (2, 0) (1, 1) (1, 0) (1, 1) (0, 2) (1, 0) (1, 0) (0, 1) (0, 0) Since each sample point is equally li
Chapter 10: Hypothesis Testing
10.1 10.2 See Definition 10.1. Note that Y is binomial with parameters n = 20 and p. a. If the experimenter concludes that less than 80% of insomniacs respond to the drug when actually the drug induces sleep in 80% of insomn
Chapter 4: Continuous Variables and Their Probability Distributions
y <1 0 .4 1 y < 2 a. F ( y ) = P(Y y ) = .7 2 y < 3 .9 3 y < 4 1 y4
1.0 F(y) 0.0 0 0.2 0.4 0.6 0.8
4.1
1
2 y
3
4
5
b. The graph is above. 4.2
a. p(1) = .2, p(2) = (1/4)4/5 = .2, p(3) = (
Chapter 16: Introduction to Bayesian Methods of Inference
16.1 Refer to Table 16.1. a. (10,30) b. n = 25 c. (10,30) , n = 25 d. Yes e. Posterior for the (1,3) prior. a.-d. Refer to Section 16.2 a.-e. Applet exercise, so answers vary. a.-d. Applex exercise
Chapter 14: Analysis of Categorical Data
14.1 a. H0: p1 = .41, p2 = .10, p3 = .04, p4 = .45 vs. Ha: not H0. The observed and expected counts are: A B AB O observed 89 18 12 81 expected 200(.41) = 82 200(.10) = 20 200(.04) = 8 200(.45) = 90 The chisquare s
Chapter 8: Estimation
8.1
Let B = B() . Then,
2 MSE ( ) = E ( ) 2 = E ( E ( ) + B ) 2 = E E () + E ( B 2 ) + 2 B E E () = V ( ) + B 2 .
[
][
]
(
)
[
]
8.2
a. The estimator is unbiased if E( ) = . Thus, B( ) = 0. b. E( ) = + 5.
a. Using Definition 8.3,
Chapter 7: Sampling Distributions and the Central Limit Theorem
7.1 a. c. Answers vary. d. The histogram exhibits a mound shape. The sample mean should be close to 3.5 = e. The standard deviation should be close to / 3 = 1.708/ 3 = .9860. f. Very similar
Chapter 1: What is Statistics?
1.1 a. Population: all generation X age US citizens (specifically, assign a 1 to those who want to start their own business and a 0 to those who do not, so that the population is the set of 1s and 0s). Objective: to estimate
Chapter 12: Considerations in Designing Experiments
12.1 12.2 (See Example 12.1) Let n1 =
(
1 1 + 2
)n = ( )90 = 33.75 or 34 and n
3 3+ 5
2
= 90 34 = 56.
(See Ex. 12.1). If n1 = 34 and n2 = 56, then 9 25 Y1 Y2 = 34 + 56 = .7111 In order to achieve this sa
Chapter 11: Linear Models and Estimation by Least Squares
11.1 11.2
Using the hint, y ( x ) = 0 + 1 x = ( y 1 x ) + 1 x = y.
a. slope = 0, intercept = 1. SSE = 6. b. The line with a negative slope should exhibit a better fit. c. SSE decreases when the sl