A 50 percent confidence interval is lame.
That means that the coverage isn't very good.
It says that in the long run (law of large numbers)
half of your intervals will contain the mean and half won't.
Not a desireable result at all.
Q.
The electro-motive force (emf) of batteries produced by a company is normally distributed with mean and variance of 45.1 and 0.0016 respectively .
If 4 such batteries are connected in series ,find the 50% confidence interval of the mean emf .How do you explain the results to a non-statistician ??
We are already given the mean and the variance of the population .
So here what is meant by 50% confidence interval ?
Can somebody help me to answer this question ?
The only thing I can think of, but that involves repeated confidence interval estimation is an exercise I did out of wackerly's book.
I made my students generate 100 uniforms on excel, then transform then to exponentials with a set mean. WE knew the mean.
Then they obtained a 95 percent CI for that known mean.
I made them do that 100 times, so there were 100 times 100= 10,000 observations.
Approximately 95 percent of these intervals contained that mean.
Some students had 93, others had 96 of them containing the mean.
That's the only thing I can think of.
They can see if the interval truly contains the mean.