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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he level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players: Data for Football players n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 For soccer players: Data for Soccer players n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 Assume that all the data above are normal Test the claim that the mean CPK level has DECREASED for soccer players AFTER exercise (compared to the mean BEFORE exercise), using α=0.10. AFTER practice, do football players have a DIFFERENT mean CPK values compared to soccer players? Test this claim by…
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