Bicycle Crashes Are a Common Cause of Severe Injuries in Childhood

question 40

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.

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Definitions:

Depakene

A brand name for valproic acid, a medication used to treat seizures, bipolar disorder, and to prevent migraine headaches.

Transient Ischemic Attack

A temporary blockage of blood flow to the brain, often called a mini-stroke, that causes short-lived symptoms similar to a stroke.

Ministroke

Also known as a Transient Ischemic Attack (TIA), it refers to a brief interruption of blood supply to part of the brain, causing temporary stroke-like symptoms.

Brain Attack

Another term for a stroke, a medical condition where poor blood flow to the brain results in cell death, causing loss of muscle control, speech, or other functions.