McNeese and Klein (1991) looked at the average particle size. Specifications give the standard deviation of 2 microns. A sample of 25 particles in microns is given here
103.8, 95.3, 96.7, 96.8, 102.3, 93.8, 99.6, 96.9, 105.8, 92.1, 101.5, 100.6, 101.6, 102.8, 97.8, 104.7, 102.7, 94.9, 100.9, 100.5, 102.7, 103.2, 97.5, 98.3, 94.9
Conduct the most appropriate hypothesis test to test the accuracy to specification of production using 5% significance level.
Construct a 95% confidence variance interval and standard deviation interval. Interpret each interval.
Are you comfortable with your assumptions for this analysis? Explain and provide graphs to support your position.