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A delivery truck averages 15 miles per gallon, with a standard deviation of 3 miles per gallon, and that fuel consumption is Normally Distributed. Using the Normal Distribution, if the total trip mileage for that day is 200 miles, what is the minimum amount of fuel (gallons) that the driver should start the trip with to ensure there is only a five percent chance of running out of fuel prior to completing the trip. Also, define the Random Variable.
Please show all work and graphs.
In the real world, a given null hypothesis is false; but the collected data lead to the null hypothesis being accepted. That is, the data lead to a failure to reject the null hypothesis.
Determine following probabilities where Z follows standard Normal distribution?
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Select the suitable hypothesis.H 0 : π ≥ .052; H 1 : π 0 if z
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