Stats Solutions

[Solution] Car speeds. John Beale of Stanford, CA, recorded the speeds of cars driving past his house, where the speed limit read 20 mph. The mean of 100 readings

Question: Car speeds. John Beale of Stanford, CA, recorded the speeds of cars driving past his house, where the speed limit read \(20 \mathrm{mph}\). The mean of 100 readings was 23.84 \(\mathrm{mph}\), with a standard deviation of \(3.56 \mathrm{mph}\). (He actually recorded every car for a two-month period. These are 100 representative readings.)

  1. ) How many standard deviations from the mean would a car going under the speed limit be?
  2. Which would be more unusual, a car traveling \(34 \mathrm{mph}\) or one going \(10 \mathrm{mph}\) ?

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