Number of people: 1, 2, 3, 4, 5, 6 Respective Probability: .23, .12, .15, .06, ?? .28 What is the probability of selecting 5 people?
.23+.12+.15+.06+.28=.84-->1.0-.84=.16 or 16%
100
What are the seven intervals of standard deviation?
-3, -2, -1, 0, 1, 2, 3
200
What is a Simple Random Survey?
A survey that gives every single individual in the population an equally likely chance of being chosen.
200
What is the name of this symbol? μ
Mu
200
What does the center of the graph signify?
The average or mean
200
What are the total number of outcomes if you flip five coins?
2possibilities*2p*2p*2p*2p=32 outcomes
200
What is the name of the principle that determines the number of outcomes in a sample?
Multiplication Principle
300
What is the difference between being valid and being reliable?
Being valid is doing something in an appropriate way, being reliable is when you take repeated measurements and have a consistent answer.
300
What are the names of these symbols and what are they indicate in mathematics? ≥ ≤ ≠
Greater than or equal to, less than or equal to, and not equal to. They are used to indicate inequalities.
300
Give an example of a categorical graph and a quantitative graph.
Categorical- bar graph, pie cart; Quantitative- dot plot, stem plot, histogram.
300
Numbers: 1 2 3 4 5 6 7 8 9 10
What is the probability that you choose a number 6 or greater?
6,7,8,9,10=5 numbers-->5 numbers/10 total=.5 or 50%
300
What shows the strength of the relationship between two things in a graph?
Correlation Coefficient
400
What is the definition of categorical and quantitative variables? Provide an example of each.
A categorical variable describes something with words, classifying it. A quantitative variable describes things with numbers. Categorical-color, shape, texture; Quantitative- any number
400
What is the name of this symbol and how is it used/what does it mean? ∑
Sigma, it is used to indicate that a summation will occur in the problem, it means to take the sum of all parts.
400
When do you use a five number summary and when do you use standard deviation?
You use standard deviation when there's a normal distribution and a five number summary when there are outliers making the distribution skewed.
400
What is the probability of being a divorced woman given that you are between 30-34 years of age? Ages: (18-29) (30-64) Married:100, 400 Not Married: 400, 100 Divorced: 200, 300
P(AlB)=P(AnB)---> P(300/1500) =.2/.53= .38 or 38%
P(B) P(800/1500)
400
What is the final equation to find the unknown average in a t* problem?
t=average-μ/(Sx/√n)
500
Define a sample, census, experiment, and observational study.
Sample-small group of questions; Census-survey given to everyone in the population; Experiment- imposing a treatment, making someone do something; Observational Study- watching the subject ad recording data without interfering.
500
What does the symbol σ denote and which type of problem is it used in: z-star or t-star?
The lower case sigma denotes standard deviation and is used in z-star problems.
500
What are the three main descriptive aspects of a graph in terms of distribution, mean, and either standard deviation or a five number summary.
Shape, Center, and Spread.
500
Write a 95% confidence interval for the given data:
Population:200 Statistic students
Sample:50 stat students
Statistic: 50/200= .25
Perameter: The unknown % of stat students that do not enjoy the class
.25+/-1.96√[.25(.75)]/200--> .25+/-1.96√.1875/200-->
.25+/-1.96√.0009375-->.25+/-1.96*.0306-->.25+/-.06=.19-.31
95% of the time, the unknown % if statistic students that do not enjoy the class is between .19-.31 or 19%-31%.
500
What are the % cumulative frequencies for the following data: Intervals: (0-10), (11-20) (21-30) Respective Frequency: 3, 10, 17
Interval: % Cumulative Frequency:
0-10 3/30=.1 or 10%
11-20 13/30=.43 or 43%
21-30 30/30=1.0 or 100%