Exam 3 - Stat. Еstimation Flashcards
When should we use the term ‘confidence’ and not the term ‘probability’
After taking the sample
Since x-bar does not equal mean mu, what do we need to know?
Whether x-bar is a good estimate of mu. In other words, we need a measure of error, or how far x-bar could be from mu
We get ME from the
Sampling distribution of c-bar
What do we use to obtain ME
The sampling distribution of x-bar
T/F if the level of confidence is 95% then 95% if the data will be found within the confidence interval ( x-bar +|- ME)
False. C.I. Is an estimate of value of parameter mu, it is not intended to tell us a range of values for the data
T/F we compute a confidence interval estimate for mu by computing the interval x-bar +|-ME where ME is a margin of error
True
T/F If confidence level is 95%, we can be 95% confident that the value of x-bar is between x-bar +|- ME
False. The value is always between x-bar -/+ME, we can be 100% confident of that
Confidence interval
Is a range of plausible values for a population parameter, for which we are able to quantify our level of confidence
Margin of error
Tells us how accurately x-bar estimates mu and
The most x-bar could differ from mu for the computations within the ME of all possible x-bar values