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The Average Mpg (Miles Per Gallon) of a New Model μ=27.4\mu = 27.4

Question 21

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The average mpg (miles per gallon) of a new model of motorcycle is known to be normally distributed with mean μ=27.4\mu = 27.4 mpg and standard deviation σ=2.9\sigma = 2.9 mpg. (a) Draw a normal curve with the parameters labeled.(b) Shade the region that represents the proportion of mpgs between 29.3 and 23.7.(c) Suppose the area under the normal curve to between X = 29.3 and X = 23.7 is 0.6419. Provide twointerpretations of this result.

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