The following random sampled data was submitted for analysis: 33.4, 42.2, 37.1, 44.2, 46.0, 34.0, 32.6, 42.7, 32, 39.5.
a. Determine the sample mean and the 95% confidence interval for the population mean.
b. Determine the sample standard deviation and the 95% confidence interval for the population standard deviation.
c. Display the data using a histogram and normal probability plots.
d. Estimate process capability / performance metrics for a specification of 40.0 ± 7.0. Comment on the validity of the analysis and results.