A total of 150 measurements are taken of the thickness of a coil of rolled steel sheet
measured at approximately equidistant points along the center line of its length. The
measurements have a mean value of 11.291 mm and a standard deviation of
0.263 mm. The smallest and largest measurements in the sample are 10.73 and
11.89 mm. The measurements are divided into 8 data bins with boundaries at 10.695,
10.845, 10.995, 11.145, 11.295, 11.445, 11.595, 11.745, and 11.895. The first bin,
containing measurements between 10.695 and 10.845, has 8 measurements in it, and
the count of measurements in the following successive bins is 12, 21, 34, 31, 25, 14,
and 5. Apply the chi-squared test to see whether the measurements fit a Gaussian distribution to a 95% confidence level.