(1 point) Fueleconomy.gov, the official US government source forfuel economy information, allows users to share gas mileageinformation on their vehicles. The histogram below shows thedistribution of gas mileage in miles per gallon (MPG) from 14 userswho drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and thestandard deviation is 5.2 MPG. Note that these data are userestimates and since the source data cannot be verified, theaccuracy of these estimates are not guaranteed. Report all answersto 4 decimal places.
1. We would like to use these data to evaluatethe average gas mileage of all 2012 Prius drivers. Do you thinkthis is reasonable? Why or why not?
? Yes No , because  ? the data distribution seemsapproximately normal there are 14 data points in the sample userestimates are reliable user estimates are not reliable .
The EPA claims that a 2012 Prius gets 50 MPG (city and highwaymileage combined). Do these data provide strong evidence againstthis estimate for drivers who participate on fueleconomy.gov?Conduct a hypothesis test. Round numeric answers to 3 decimalplaces where necessary.
2. What are the correct hypotheses forconducting a hypothesis test to determine if these data providestrong evidence against this estimate for drivers who participateon fueleconomy.gov? (Reminder: check conditions)
A. ?0:?=50H0:μ=50 vs. ??:?≠50HA:μ≠50
B. ?0:?=50H0:μ=50 vs.??:?>50.3HA:μ>50.3
C. ?0:?=53.3H0:μ=53.3 vs. ??:?≠53.3HA:μ≠53.3
D. ?0:?=50.3H0:μ=50.3 vs. ??:?<50HA:μ<50
3. Calculate the test statistic.
4. Calculate the p-value.
5. How much evidence do we have that the nullmodel is not compatible with our observed results?
A. some evidence
B. little evidence
C. extremely strong evidence
D. strong evidence
E. very strong evidence
6. Calculate a 95% confidence interval for theaverage gas mileage of a 2012 Prius by drivers who participate onfueleconomy.gov.
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