In: Statistics and Probability
jae measured the time for a metal ball to be displaced in vertical direction by a meter nine times. he got .43s as the average value and .01s as the statistical uncertainty at 99% level. estimate the size of the statistical uncertainty at 68%. you may need to google how to etsimate the size of statistical error with different percent level.
For the calculations to be done in this problem we'll make the assumption of normality of the time taken by the ball to displace 1meter in vertical direction. But the mean and variance of the distribution is unknown. We have to use the critical values of the t-distribution and statistical uncertainty=S.D*critical value.The solution with explanations are given in the images...