The manufacturer of a new hybrid sports utility vehicle (SUV) states that, on average. it gets at least 4 miles per gallon (mpg) when driving on the highway. A consumer group disagrees with the manufacturer's statement. Since gas prices are rising, you want to get a car that averages 48mpg or more on the highway. 13 of the new SUVs are randomly tested under similar highway conditions with results shown below. Test the consumer group's claim at the a - .05 level of significance 39, 40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 50 a) Use symbols to write the hypotheses statements, briefly describe the meaning in words, and identifythe claim being tested: Ho meaning: Ha meaning: Which one is the claim? b) Calculate all relevant descriptive statistics in this case (the mean or proportion, standard deviation, ect. c What type of hypothesis test will you perform to test the consumer group's claim? Explain how you decided. d) Perform the hypothesis test (show work)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The manufacturer of a new hybrid sports utility vehicle (SUV) states that, on average. it gets at least 4 miles per gallon (mpg) when driving on the highway. A consumer group disagrees with the manufacturer's statement. Since gas prices are rising, you want to get a car that averages 48mpg or more on the highway. 13 of the new SUVs are randomly tested under similar highway conditions with results shown below. Test the consumer group's claim at the a - .05 level of significance 39, 40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 50 a) Use symbols to write the hypotheses statements, briefly describe the meaning in words, and identifythe claim being tested: Ho meaning: Ha meaning: Which one is the claim? b) Calculate all relevant descriptive statistics in this case (the mean or proportion, standard deviation, ect. c What type of hypothesis test will you perform to test the consumer group's claim? Explain how you decided. d) Perform the hypothesis test (show work)
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