Confidence Interval By James Grow

9/2/99


Click here to start


Table of Contents

Confidence Interval By James Grow

Measurement Criteria

Some assumptions are made

s for systolic Blood pressure is 20

Average measured pressure is 130

s decreases with the number of samples taken

s for seven measurements

95.4% of sample are within 2 s

The margin of error with 95% confidence is 2s

This interval runs from 115-145

Most sample(95%) will lie within this interval

The larger the confidence more will lie within the interval

However, a few will not (5%)

Confidence Levels

Duracelle batteries last longer

is the clam. How to prove it

Here the batteries are packaged

Test a random sample of batteries

In the Rack

A steady current is drained

If done in toys, variability due to toys can effect results

For a 95% confidence

1.960 standard deviations on both sides of mean are needed

For a confidence level of 99%

2.576 standard deviations on both sides of the mean are needed

To calculate the confidence interval this formula is necessary

For forty batteries the mean life time is 360 minutes with s =23

Giving the results

68% confidence level with 1s

95% confidence with 2s

A small standard deviation is good

However, if it is large

The only way to decrease the uncertainty is to increase n

It takes 4 times the number of measurements to half the interval

The square root sign takes its toll

Author: Compaq User

Email: Grow@adm.njit.edu

Home Page: http://www-ec.njit.edu/~grow/statisti.htm

Download presentation source