Exam 3 - Statistical Inference Flashcards
Confidence interval uses …. data to estimate …. with an indication of how accurate the estimate is and of how … we are that the result is correct.
Sample….unknown population parameter…confident
Statistical inference provides
Methods for drawing conclusion about population from sample data
Confidence interval has two parts
An interval calculated from the data and a confidence level
Confidence interval often has a form:
Estimate +|- margin of error
Probability
Proportion of times an outcome of a random phenomenon occur in a very long series of repetitions
Parameter
A number that describes the population. In stat practice, the value is unknown because we cannot examine the entire population
Sampling distribution
The distribution of values taken by a statistic in all possible samples of the same size from the same population
Statistic
A number that can be computed from the sample data without making use of any unknown parameters. In practice, we often use this to estimate an unknown parameter
Simple conditions for inference about mean
- We have ….
- The variable we measure…
- We don’t know the ….
- An SRS from population of interest. There is non non response or other practical difficulty
- Has an exactly Normal distribution mu, sigma in the population
- Population mean mu but we do know popul stand dev sigma
Non response
When individual chosen for sample can’t be contacted of refuses to participate
Statistical inference
Drawing conclusion about a population parameter from a sample statistic
Because of sampling variability: the sample statistic usually… From the population parameter
Differs
Sampling distribution of x-bar provides info for predicting the expected
Maximum difference between the sample statistic, x-bar, and the population parameter, mu
Sampling distribution of x-bar provides
- probabilities on x-bar
- a measure of variability of x-bar with the standard deviation of the sampling distribution of x-bar
Margin of error
Is an estimate of the maximum size of the error