Study Guide
Below is the list of questions and concepts that I expect you be familiar with before the
Midterm Exam 1.
1. Be able to distinguish population and sample, to define them in your own words,
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Chapter I: The Nature of Statistics
o Descriptive Statistics: the method of organizing and summarizing
information; includes graphs, charts, etc.
Population: the collection of individuals or items un
Chapter 3
Descriptive Measures
3.1
o Mean: sum/# of observations
Numerical
100+100/2= 100
o Median: middle point
Numerical
1,2,3,4= 2.5
o Mode: value that occurs the most
Can be Nonmumerical
1,2
Stats. 2510
March 2, 2017
Chpt. 8
Section 8.2
Confidence intervals for One Population Mean when sigma is known
*looking for mu
Confidence intervalsrequires three pieces of info.
1. Confidence level (9
Bethany Burgess
Obesity In America
Pie graphs should be diagrammed using percentage form so that the represented information adds up to
100% (or the completed circle). This doesnt account for the enti
Stats. 2510
Feb. 9, 2017
Chpt. 5
Section 5.2
Mean and Standard Deviation of Discrete Random Variables
Mean of D.R.V X is denoted by (mu)
= x p ( X =x)
Expected value is frequently used in place of the
Stats. 2510
Chpt. 6
Section 6.1
Normally Distributed Variable
Basic Properties of Density Curves
Property 1 always on or above horizontal axis
Property 2 total area under density curve and above horiz
Stats. 2510
1/24/17
Chpt. 3 Section 3.1-3.3
Section 3.1
Measures of Center
Descriptive Measures
Two Types of Descriptive Measures
1. Measures of Centerlooking at different ways to describe what a typi
Stats. 2510
Jan. 26, 2017
Section 3.4-3.5
3.4: Five Number Summary; Boxplots
Percentilesfor each percentage (p) between 0 and 100, the pth divides the bottom p% from top (100-p)
%
Ex: 30th percentile:
Stats. 2510
February 7, 2017
Chpt. 4
Section 4.3
Rules of Probability
1. Probability Notation
E is event, then P(E) represents probability of E occurring
F/N number of ways event can occur
2. Special
Stats 2510
Section 2.3-2.4
Organizing Quantitative Data
For quantitative you will need frequency or relative frequency distribution
Observations (1 individual measurement) grouped into classes or cate
Statistics
Chpt. 2
Section 2.1
Variables and Data
Variablescharacteristic that varies from one person or thing to another
Qualitative variable numerically valued variable (categorial)
Exampleseye colo
Stats. 2510
Chpt. 1
Sec. 1.1
Statisticsscience or practice of the collection, analysis, and interpretation of data
Descriptive Stats methods for organizing and summarizing info.
Examplebaseball stats
Lecture 1:
SCIENTIFIC METHOD constitute data (example- movie ratings) STATISTICS: a
science of drawing conclusions from data (EXAMPLE- mean=3.3/4 stars) CATIGORICAL
VARIABLES: Social Class, Political
Lecture 5: DESCRIPTIVE STATS organizes and summarizes the available data in a
meaningful way (You know everything about the data). Statistical tools/procedures to help
organize, summarize, and simplif
Lecture 10: Distribution of Sample Means-is the collection of sample means for all the possible random samples of a particular size that can
be obtained from a population. The distribution of sample
Q1
Based on a sample of 50 x-values having mean 35.36 and standard deviation 4.26,
(a)
test at the 0.05 level of significance the null hypothesis : = 34 versus the alternative : 34.
(b)
find a 95% con
Q1
A.
To find P(a < Z < b) = F(b) - F(a)
P(X < 0.03) = (0.03-0)/1
= 0.03/1 = 0.03
= P ( Z <0.03) From Standard Normal Table
= 0.51197
P(X < 1.01) = (1.01-0)/1
= 1.01/1 = 1.01
= P ( Z <1.01) From Stand
East Brunswick High school has 1600 students. A sample of 160 students was selected to study
the average monthly income of students. Since sample size is greater than 30, how much error
would you exp
Q1
A population has = 80 and = 12. Find the z statistic corresponding M = 84 for a sample if n = 5. MY ANSWER: I got z = .75. Is this correct?
Ans.
Test Used: Z-Test For Single Mean
Set Up Hypothesis
Q1
Ans.
A.
i.
Mean = Sum of the observations / No.of the observations
Here n = 20 ; Sum of the observations = 127
Mean = 127/20 = 6.35
ii.
Median is the middle observation. If N is odd, use the formul
Q1
Explaining confidence. A student reads that a 95% confidence interval for the mean ideal weight given by adult American women is 140 1.4 pounds. Asked
to explain the meaning of this interval, the s
When calculating the standard deviation and variance from a sample, which of the following is the
denominator for the biased estimate of the population standard deviation and the biased estimate
of th
Please show all work. Include formulas, calculations, or definitions necessary to solve the problems. I recommend that you use Excel. You may also use Word, but must attach the Excel
workbook used for