Math M05
1. For
2. For
Sample Problems for the Common Final Exam
f ( x) 2 x 2 3x 4
f ( x ) 4 3x x 2
3. Graph:
, find
, find
f ( x h) f ( x)
h
f ( x h) f ( x )
h
Page 1 of 10
and simplify completely.
and simplify completely.
x 1
2x 4
2
3 x 1
x
4. Let
a
Section A
1. (a)
Our hypothesis:
H0 : d = 0 (the mean of the population of all differences in measurements obtained from the beginning
and end is 0)
Ha : d 0 (the mean of the population of all differences in measurements obtained from the beginning
and en
<p> The conservation of biodiversity is important to the survival of the human population because of the
effect it has on pharmaceuticals and our public health. Biodiversity is the concentration of biological
diversity, which refers to the variation of al
Lab 4:
Scientific Investigation / Scientific Literature
Laboratory Objectives
By the end of todays session students should be able to:
1. Know the different ways that can be used to summarize and represent the trends in res
Math V44 Practice Midterm 1 Answers
1.
a)
Class Frequency
60 69
2
70 79
4
80 89
8
90 99
6
Total
20
b)
Class Relative Frequency
60 69
0.10
70 79
0.20
80 89
0.40
90 99
0.30
Total
1.00
c)
Class Cumulative Frequency
< 70
2
< 80
6
< 90
14
< 100
20
d)
Frequency
Quiz # 1
(Chapter 1.1, 1.2 Chapter 2)
1. The definition of a population is:
a) Observations that have been collected. Some of these observations are
measurements, genders, survey responses.
b) Is a sub-collection of members selected from a population.
c)
Quiz # 3
Chapter 4
1. Assume boys and girls are equally likely and single deliveries only: What is the probability that a couple
will have at least one boy if they plan to have 7 children.
a) 0.98
b) 0.098
c) 0.9921875
d) 0.112375
e) 0.5
Use the following
Quiz # 4 (Chapters 2, 3, 4)
The data below represents the three year rate of return (in percent) for a simple random
sample of 40 small capitalization growth mutual funds.
27.4, 16.7, 10.8, 24.1, 35.9, 12.7, 28.5, 22.2, 18.4, 17.4, 22.6, 29.6, 11.6, 45.9,
Chapter 7
Quiz
1. The salaries of 45 college administrators is found to have an average x = $50340.
Assume that $16,920 . Find a 90% confidence interval for the population
mean of salaries such personnel.
a) (43243 , 52435) b) (46191 , 54489) c) (49735 ,
Review for Test 3
1.
a.
From a random sample of 36 days in a recent year, the closing stock prices of Hasbro had a
mean of $19.31. From past studies we know that the population standard deviation is $2.37.
Should you use the z-distribution, or the t-distr
Chapter 8
Quiz
1. Given the following claim: Coyotes in Northern Minnesota tend to live longer than the
average of 1.75 years
a)
H : 1.75
H 1: 1.75 claim
b)
H : 1.75 claim
H 1: 1.75
c)
H : 1.75
H 1: 1.75 claim
d)
H : p 1.75
H 1: p 1.75 claim
2. Given the
Estimates and Sample Sizes
Overview
Inferential statistics use sample data to:
1) Estimate the value of a population parameter (p, , 2) Chapter 7
2) Test some claim (or hypothesis) about a population Chapter 8
Estimating a Population Proportion
Example A
Chapter 8
Quiz
1. Given the following claim: Coyotes in Northern Minnesota tend to live longer
than the average of 1.75 years
a)
H : 1.75
H 1: 1.75 claim
H : 1.75 claim
b)
H 1: 1.75
c)
H : 1.75
H 1: 1.75 claim
d)
H : p 1.75
H 1: p 1.75 claim
2. Given the
Hypothesis Testing
Overview
Inferential statistics use sample data to:
1) estimate the value of a population parameter (p, , 2) Chapter 7
2) test some claim (or hypothesis) about a population parameter Chapter
8
Definition
In statistics, a hypothesis is a
Chapter 7
Quiz
1. The salaries of 45 college administrators is found to have an average x = $50340.
Assume that $16,920 . Find a 90% confidence interval for the population
mean of salaries such personnel.
a) (43243 , 52435) b) (46191 , 54489) c) (49735 ,
Chapter 7 and 8
Quiz
1. The best estimator of the population proportion p is:
a) x
b) S 2
c) p hat
d)
2. Given that: 0.05 , n 71 and we want a confidence interval for the population
standard deviation. What are the critical values?
a) 43.275, 104.215 b)
Claims about Two Populations
Chapter Problem Which is better for treating carpal tunnel syndrome:
splinting or surgery?
Overview
We will apply the methods learned for hypothesis testing using a single
sample to two samples.
Claims About Two Proportions
Re
Correlation and Regression
Chapter Problem Can we predict the time of the next eruption of the
Old Faithful geyser?
Overview
In this chapter we will learn how to determine whether there is a
relationship between two variables, and if a relationship exists
Chapter 9
Quiz
A. Given the following information about the increase in revenue for top companies x
compared to the pay CEOs receive y.
x: 24 23 25 18 6 4 21 37 ( Percent for company)
y: 21 25 20 14 -4 19 15 30 ( Percent Salary increase for CEO)
1) Find t
Chapter 10
Quiz
A. Given the following information about glucose levels (in milligrams of glucose per
100 milliliters of blood.) ( Part A is from 9.5)
73
72
61 104 75 85 65 62 98 92 106 ( Non pregnant women)
84 90 95 66 70 79 85
(pregnant women)
1) Find t
Chapter 10
Quiz
A. Given the following information about glucose levels (in milligrams of glucose per
100 milliliters of blood.) ( Part A is from 9.5)
73
72
61 104 75 85 65 62 98 92 106 ( Non pregnant women)
84 90 95 66 70 79 85
(pregnant women)
1) Find t
Chapter 9
Quiz
A. Given the following information about the increase in revenue for top companies x
compared to the pay CEOs receive y.
x: 24 23 25 18 6 4 21 37 ( Percent for company)
y: 21 25 20 14 -4 19 15 30 ( Percent Salary increase for CEO)
1) Find t
Math 15
Practice Test 1
1. List the abuses of Statistics (actually 1.3 Critical Thinking) that we have seen.( see
archive) and give an example of each. Not on test
2. Describe the difference between a parameter and a statistic. Use examples if needed.
3.
Statistics for Describing, Exploring, and Comparing Data
Chapter Problem Best Actor/Actress Ages
Overview
There are two basics types of statistics
1. Descriptive Statistics are used to summarize or describe
important characteristics of a data set.
2. Infe
Summarizing and Graphing Data
Do the Academy Awards involve discrimination based on age?
Overview
Important Characteristics of Data
1. Center: A representative or average value that indicates where
the middle of the data set is located.
2. Variation: A m
Quiz # 4 (Chapters 2, 3, 4)
The data below represents the three year rate of return (in percent) for a simple random
sample of 40 small capitalization growth mutual funds.
27.4, 16.7, 10.8, 24.1, 35.9, 12.7, 28.5, 22.2, 18.4, 17.4, 22.6, 29.6, 11.6, 45.9,
Math 15 Lecture Notes
Introduction to Statistics
Overview
Definitions
Data are observations that have been collected.
Statistics is a collection of methods for planning studies and
experiments, obtaining data, and then organizing, summarizing,
presenting,
Normal Probability Distributions
Overview
Definition
If a continuous random variable has a distribution with a graph that is
symmetric and bell-shaped, we say that it has a normal distribution.
The graph can be described by the equation y e
1 x
2
2
2