The speeds of vehicles (in mph) passing through a section of Highway 75 are recorded for a random sample of 150 vehicles and are given below. Test the hypothesis that the speeds are normally distributed with a mean of 70 and a standard deviation of 4. Use α = 0.01.

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Range Number 40.06 $6.857e-85 40-55 56-65 14 66-75 78 12