In: Statistics and Probability
When designing new clothing and equipment lines, a company collects data on the physical characteristics of the target group the product line is intended for. A recent line was being developed for male runners and thus the following weights (in kilograms) were collected from a random sample: 67.8, 61.9, 63.0, 53.1, 62.3, 59.7, 55.4, 58.9, 60.9, 69.2, 63.7, 68.3, 64.7, 65.6, 56.0, 59.8, 66.0, 62.9, 53.6, 65.0, 55.8, 60.4, 69.3, 61.7, 92.3, 54.8, 53.9, 61.9, 57.2, 55.9. What is the upper bound of a 99% confidence interval for the mean weight in kilograms of male runners (correct to four decimal places)?