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In: Statistics and Probability

Problem 2 The following observations are stopping distances (ft) of a bus at 25 mph, where...

Problem 2 The following observations are stopping distances (ft) of a bus at 25 mph, where the population stopping distance is normally distributed

32.1

30.6

31.4

30.4

31.0

31.9

a) Does the data suggest that true average stopping distance exceeds 30’ with α = .01?

b) In order to minimize Type I and Type II errors, what sample size would be necessary (α = .01 and β = .10) when μ’ = 31 and σ = .65?

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