8.104 Gas mileage of the Honda Civic. According to the Environmental Protection Agency (EPA) Fuel Economy Guide, the 2014 Honda Civic automobile obtains a mean of 36 miles per gallon (mpg) on the highway. Suppose Honda claims that the EPA has underestimated the Civic's mile- age. To support its assertion, the company selects n = 50 model 2014 Civic cars and records the mileage obtained for each car over a driving course similar to the one used by 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 2014 Civic autos is greater than 36 mpg, what should the al- ternative hypothesis be? the null hypothesis? b. Do the data provide sufficient evidence to support the auto manufacturer's claim? Test, using a = .05. List any assumptions you make in conducting the test. c. Calculate the power of the test for the mean values of 36.5, 37.0, 37.5, 38.0, and 38.5, assuming that s = 6.4 is a good estimate of o.
8.104 Gas mileage of the Honda Civic. According to the Environmental Protection Agency (EPA) Fuel Economy Guide, the 2014 Honda Civic automobile obtains a mean of 36 miles per gallon (mpg) on the highway. Suppose Honda claims that the EPA has underestimated the Civic's mile- age. To support its assertion, the company selects n = 50 model 2014 Civic cars and records the mileage obtained for each car over a driving course similar to the one used by 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 2014 Civic autos is greater than 36 mpg, what should the al- ternative hypothesis be? the null hypothesis? b. Do the data provide sufficient evidence to support the auto manufacturer's claim? Test, using a = .05. List any assumptions you make in conducting the test. c. Calculate the power of the test for the mean values of 36.5, 37.0, 37.5, 38.0, and 38.5, assuming that s = 6.4 is a good estimate of o.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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