Question 4 A random sample of 49 ball-bearings made by a new machine was taken over the first day of testing the new machine. The ball-bearings in the sample had a mean diameter of 0.824 mm with a standard deviation of 0.042 mm. The mean from older machines of the same type had been found to be in the range 0.820 + 0.01. (a) What is the 95% confidence interval for the mean diameter from the new machine? (b) With approximately what degree of confidence can we say that the mean diameter from the new machine is 0.824 ± 0.01? (c) How would your results in (a) change if the random sample had been of 20 ball-bearings?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.