T-Tests
(1) Calculate the sample mean;
(2) Use the sample mean in the corrected formula for the standard deviation.
the science dealing with the collection, analysis, interpretation, and presentation of data
What is statistics?
√p(1-p)/n
Mean of sampling distribution of sample proportion
Population proportions
What is a parameter?
The 4 measurement scales of data.
What are nominal, ordinal, interval and ratio?
A hypothesis test in which we compare data from one sample to a population for which we know the mean but not the standard deviation.
What is a single-sample t test?
Organizing describing , and summarizing data
do not involve generalizing beyond the data at hand
What is descriptive statistics?
μx = np
What is the mean of a binomial probability?
Sample proportion
What is a statistic?
A test on whether data is meaningful
A statistic that indicates the distance of a sample mean from a population mean in terms of the standard error.
What is a T statistic?
The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
What is probability?
n! = n (n-1) (n-2) *...
What is factorial notation?
p̂ = X/n
What is a sample proportion?
The manipulated variable in an experiment
What is an independent variable?
The number of scores that are free to vary when estimating a population paramenter from a sample.
What is degree of freedom?
1. information that has been collected from an experiment, a survey, a historical record
2. Data are the actual values of the variable. They may be numbers or they may be words
What is data?
The distribution of the count X of successes in the binomial setting is the binomial distribution with parameters n and p
- n = number of observations
- p = probability of success on any one observation
- Possible values of X = whole numbers from 0 to n
What is a binomial distribution?
z*SEp̂
What is the margin of error?
The variable which is measured for collecting data
What is the dependent variable?
A test used to compare two means for a within-groups design, a situation in which every participant is in both samples; also called a dependent-samples t test.
What is a paired-samples T-test?
The formal methods used for drawing conclusions from "good"
data. are called inferential statistics. Statistical inference uses probability to determine how confident
we can be that our conclusions are correct.
What is inferential statistics?
1) Fixed number of n observations
2) The n observations are all independent
3) Each observation falls into one of two categories: success and failure
4) The probability of a success p is the same for each observation
What is a binomial setting?
Standard deviation for p̂ formula requires unknown p
- So we estimate σp̂ by replacing the population parameter p with the sample estimate p̂
- Estimate of the standard deviation of the distribution of p̂
What is standard error?
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