11:31PM Thu Aug '11 G mylab.pearson.com MATH& 146 (20274) SU Quiz: Quiz 6 Anna Stoebe This quiz: 7 pointis) possible @3 Ques'lon 1 Of 7 This question: 1 pointis) possible Submit quiz Question list 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 I Congress regulates corporate fuel economy and sets an annual gas mileage for cars. Acompany with a large eet of cars hopes to meet the goal of 36.8 mpg or better for their eet of cars. To see if the goal is being met, they check the gasoline usage for 27 company trips chosen at random, nding a mean of 38.80 mpg and a standard deviation of5,26 mpg. Is this strong evidence that they have attained their fuel economy goal? Complete parts (a) through (f) below. Use 0.05 as the P-value cutoff level. B. ' ' ~t 5/4/27 26 526+; C, ~ I O 36.8/1/26 526+}? D. _ ~ 1 O 36.8/SE(y) d) Find the P-value. P-value = (Round to three decimal places as needed) e) Explain what the Pvalue means in this context. Choose the correct answer below. 0 A. If the average fuel economy is 36.8 mpg, the chance of obtaining a sample mean of 38.80 or more by natural sampling variation is 2.9%. O B. The probability of observing a sample mean lower than 38.80 is 2.9%, assuming the data come from a population that follows a Normal model. O C. If the average fuel economy is 38.80 mpg, the chance of obmining a population mean of 36.8 or more by natural sampling variation is 2.9%. O D. The probability of observing a sample mean higher than 36.8 is 2.9%, assuming the data come from a population that follows a Normal model. 0 State an appropriate conclusion. Choose the correct answer below. 0 A. Reject the null hypothesis. There is strong evidence that the company is meeting their goal, 0 B. Reject the null hypothesis. There is not strong evidence that the company is meeting their goal. 0 C. Fail to reject the null hypothesis. There is strong evidence that the company is meeting their goal. 0 D. Fail to reject the null hypothesis. There is not strong evidence that the company is meeting their goal. Time Remaining: 00:56:12 m 4:31 PM Thu Aug 11 . . . @ 77% Done AA mylab.pearson.com MATH& 146 (20274) SU Anna Stoebe E Quiz: Quiz 6 This quiz: 7 point(s) possible O Question 1 of 7 This question: 1 point(s) possible Submit quiz Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to meet the goal of 36.8 mpg or better for their fleet of Question list K cars. To see if the goal is being met, they check the gasoline usage for 27 company trips chosen at random, finding a mean of 38.80 mpg and a standard deviation of 5.26 mpg. Is this strong evidence that they have attained their fuel economy goal? Complete parts (a) through (f) below. Use 0.05 as the P-value cutoff level. O Question 1 Question 2 Question 3 a) Write appropriate hypotheses. (The mean fuel economy of all cars in the company's fleet is denoted by J.) O A. Ho: H # 36.8 Question 4 HA: H = 36.8 O B. Ho: H = 36. HA: H 36.8 Question 6 O D. Ho: H = 36.8 HA : H # 36.8 b) Are the necessary assumptions to make inferences satisfied? Choose the correct answer below. Question 7 O A. The company uses a random sample, so one can assume the data are independent. If there are no outliers, and the data are unimodal, symmetric, and only mildly skewed, one can assume the data come from a Normal population. B. The company uses a random sample, so one can assume the data are dependent. If the sample size is less than 10% of the population, and there are at least 10 successes and 10 failures, one can assume the population follows a Student's t-model. C. The company uses a random sample, so one can assume the data are independent. If the sample size is less than 10% of the population, and there are at least 10 successes and 10 failures, one can assume the population follows a Student's t-model. D. The company uses a random sample, so one can assume the data are dependent. If there are no outliers, and the data are unimodal, symmetric, and only mildly skewed, one can assume the data come from a Normal population. c) Describe the sampling distribution model of mean fuel economy for samples like this. Choose the correct answer below. A. y - s 26 81 1/76 ~ ~ t27 Time Remaining: 00:56:14 Next