Determine two-sided confidence intervals of mean speed

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Reference no: EM13142149

The average speed of vehicles on a highway is being studied.

a. Suppose observations on 50 vehicles yielded a sample mean of 65 mph. Assume that the standard deviation of vehicle speed is known to be 6 mph. Determine the two-sided 99% confidence intervals of the mean speed.

b. In part (a), how many additional vehicles' speed should be observed such that the mean speed can be estimated to within ± 1 mph with 99% confidence?

c. Suppose John and Mary are assigned to collect data on the speed of vehicles on this highway. After each person has separately observed 100 vehicles, what is the probability that John's sample mean will exceed Mary's sample mean by 2 mph?

Reference no: EM13142149

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