Bicycle Crashes Are a Common Cause of Severe Injuries in Childhood

Essay

Bicycle crashes are a common cause of severe injuries in childhood. A researcher theorized that this might be because of inadequate "gap" time (the time between a bicycling child clearing an intersection and the subsequent entry of an oncoming car into that intersection). A researcher experimentally investigated the gap judgments of 10-year-olds by placing them in a computer-generated virtual environment of cars approaching an intersection at 25 mph. The following gap times were observed for ten randomly selected children: 6.72, 4.18, 2.32, 4.05, 8.39, 5.44, 6.24, 2.05, 3.29, 5.38 ​
a) Use the given data to produce a point estimate of μ, the population mean gap time of 10-year-olds from this population.
b) Use the given data to produce an unbiased point estimate of σ², the population variance of the gap time of 10-year-olds from this population.