8.104 Gas mileage of the Honda Civic. According to theEnvironmental Protection Agency (EPA) Fuel EconomyGuide, the 2014 Honda Civic automobile obtains a mean of36 miles per gallon (mpg) on the highway. Suppose Hondaclaims that the EPA has underestimated the Civic's mile-age. To support its assertion, the company selects n = 50model 2014 Civic cars and records the mileage obtainedfor each car over a driving course similar to the one usedby the EPA. The following data result: x = 38.3 mpg,s = 6.4 mpg.a. If Honda wishes to show that the mean mpg for 2014Civic autos is greater than 36 mpg, what should the al-ternative hypothesis be? the null hypothesis?b. Do the data provide sufficient evidence to supportthe auto manufacturer's claim? Test, using a = .05.List any assumptions you make in conducting thetest.c. Calculate the power of the test for the mean values of36.5, 37.0, 37.5, 38.0, and 38.5, assuming that s = 6.4 is agood estimate of σ.d. Plot the power of the test on the vertical axis againstthe mean on the horizontal axis. Draw a curve throughthe points.e. Use the power curve of part d to estimate thepower for the mean value = 37.75. Calculate thepower for this value of μ, and compare it with yourapproximation.f. Use the power curve to approximate the power of thetest when μ = 41. If the true value of the mean mpgfor this model is really 41, what (approximately) are thechances that the test will fail to reject the null hypothe-sis that the mean is 36?

Given Information: Hypothesized value of the population mean is 36. Sample size n=50 Sample mean…

Answered: 8.104 Gas mileage of the Honda Civic.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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