In a construction site wheelbarrow is loaded by a worker. The total weight after loading of barrow and the loading time is recorded for ten of the cycles in a day randomly. a) Find the correlation coefficient between the time and weight of wheelbarrow. Sample variance of loading time is 303.29 Sample variance of the weight is 272.78 b) Assume that the loading time is normally distributed. Please find the mean of loading time with 99% confidence interval using t distribution. Time to Load(s)   Weight of Wheelbarrow(kg) 172                        76 173                        83 179                        95 171                        84 193                         94 193                      106 156                      60 158                     70 188                      90 139                        53

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In a construction site wheelbarrow is loaded by a worker. The total weight after loading of barrow
and the loading time is recorded for ten of the cycles in a day randomly.
a) Find the correlation coefficient between the time and weight of wheelbarrow.
Sample variance of loading time is 303.29
Sample variance of the weight is 272.78
b) Assume that the loading time is normally distributed. Please find the mean of loading time with
99% confidence interval using t distribution.

Time to Load(s)   Weight of Wheelbarrow(kg)
172                        76
173                        83
179                        95
171                        84
193                         94
193                      106
156                      60
158                     70
188                      90
139                        53

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