In: Statistics and Probability
The average is between 918.23 and 930.23. Find step by step the confidence intervals for the mean of this sample of n = 36 screws at 68% and 99%
To find the value just divide the given confidence interval into two halves i.e divide the given confidence interval with the value 2. With an half search the value in Standard Normal Area Tabulated values. For example Confidence Intrval is 68% then divide 0.68 with 2 then we will get 0.34. Now Search the 0.34 in the Tabulated values; we will get the 0.34 at (1.0, 0.00). Therefore with this we conclude that = 1.
Similarly for the confidence interval of 99% we get = 1.96