CHAPTER 3 Flashcards
(12 cards)
inference about a parameter made by finding a single value or a range of values computed from the sample data that may be used to make a statement about the unknown value of the parameter
estimation
inference about a parameter made by assessing whether or not the sample data supports an assertion made about the true value of the parameter
hypothesis testing
single statistic whose realized value is used to estimate the true but unknown value of the population parameter
point estimator
rule that tells us how to calculate two numbers based on sample data that forms an interval
interval estimator
properties of a point estimator
- unbiased - average of estimates = true value of the parameter
- reliable - small standard error = more reliable
- efficient - smallest variance = most efficient estimator
What are the:
unbiased estimators
efficient estimators
unbiased: x bar for myu, s^2 for sigma^2
efficient: x bar for myu
Interval Estimation
When the confidence coefficient is high, what is the value of alpha?
smaller
what is a good confidence interval estimate?
one that is narrow and has a large confidence coefficient
what is the confidence coefficient?
(1-alpha)100%
What happens to** the length of the interval** as sample size n is fixed and confidence coefficient increases?
increase
when the confidence coefficient is fixed and n increases, what happens to the length of the interval?
decreases
the uper bound on the absolute difference between the estimator and the parameter called the error of estimation
margin of error