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Part 2. (8 points) Suppose we want to see whether our sampled data will reject the true value of the population mean. Set up a

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Part 2. (8 points) Suppose we want to see whether our sampled data will reject the true value of the population mean. Set up a hypothesis test where the claimed average is the actual average fuel efficiency value we found in part 1 a. H0: l1 : lufuel efficiency (mpg) Ha: l\" i iufuel efficiency (mpg) Does the sample data provide evidence the true average fuel efciency of all vehicles is different than \"fuel efficienct (mpg)? a. (1 point) Before performing the hypothesis test, what should we anticipate the outcome will be? Will we most likely fail to reject or reject the null? Why? b. (3 points) Use a? your sampled mean from (Part 1b) and your population standard deviation 0 (Part la), to perform a one sample 2 test for the above hypotheses, where urns; efficiency (mm) is the actual population mean. Use a signicance level of 0.05. Show your work for the test statistic and provide a pvalue. Note: You may use R to validate your results but should provide a solution worked by hand. c. (3 points) Make a fourpart conclusion based on your results. This should include a statement in terms of the evidence in favor of the alternative, whether we should reject the null hypothesis, a point and interval estimate and context. Note: This is just for practice. Given we have all ofthe population data we know the true average. In reality, we would not know population information. (1. (1 point) If the interval in part lc doesn't contain the true parameter, why will the same sampled data also reject the true null

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