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The 2017 Toyota Prius is hybrid vehicle that advertised getting 53 MPG (miles per gallon) on...

The 2017 Toyota Prius is hybrid vehicle that advertised getting 53 MPG (miles per gallon) on thehighway. A random sample of 20 Toyota Prius from 2017 is taken. The highway MPG of each vehicleis measured. The sample average was 50.45 and the sample standard deviation was 5.14. (This datasetis entirely fictional. I’m sure the Prius is a wonderful car.)(a) Calculate a 90% confidence interval for the mean MPG. (5 points)(b) The Bureau for Consumer Protection is investigating Toyota’s claim that the Prius gets 53 MPG.Does the confidence interval you calculated indicate that the true fuel efficiency of the Prius isbelow 53 MPG with 90% confidence? Explain. (3 points)

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