In designing the new machine to be employed on an assembly line at General Motors plant, an engineer obtains measurements of arm lengths of the simple random sample of male machine operators. The following values (in centimeters) are obtained. Develop the 95% confidence interval for mean arm length of all such employees. Round the sample mean and sample standard deviation to the nearest hundredth. Round the margin of error and interval limits to the nearest hundredth. Suppose the arm lengths of males are approximately normally distributed.
76.8 75.6 69.3 75.5 75.5 74.2 72.5 71.9 73.6
70.9 70.4 73.7 72.5 72.2 68.5 75.9 73.0 74.1