For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data: 29.7 24.5 27.1 29.8 29.2 27.0 27.8 24.1 29.3 25.9 26.2 24.5 32.8 26.8 27.8 24.0 23.6 29.2 26.5 27.7 27.1 23.7 24.1 27.2 25.9 26.7 27.8 27.3 27.6 22.8 25.3 26.6 26.4 27.1 26.1To prepare for this Assignment:Review this week’s Learning Resources.Refer to your Week 4 Assignment in order to complete the Conclusion section of this Assignment.Refer to the Academic Writing Expectations for 2000/3000-Level Courses as you compose your Assignment.By Day 7Submit Part 2 of your report (including the Conclusion) according to the following prompts.Part 2: Hypothesis Testing: Two-Tail Test and One-Tail TestComplete the following and include your results and responses in your report (use alpha = 0.05):List the null and alternative hypotheses for the two-tail test for the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs) Is the observed test statistic in the critical region? Is the p-value higher or lower than your alpha? (75–150 words, or 1–2 paragraphs) Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.List the null and alternative hypotheses for the one-tail test of the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs)Is the observed test statistic in the critical region? Will the p-value be higher or lower than your alpha? (75–150 words, or 1–2 paragraphs)Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.ConclusionsIn your report, use the confidence interval information and the results of the hypothesis testing to provide support for your conclusions and recommendations to the company. Specifically: What conclusions did you reach? What did you learn about the situation by using each method? Did one method offer more conclusive proof than another? (150–225 words, or 2–3 paragraphs)Based on your results, do you support the company’s claim that their minivans get 28 miles per gallon? (75 words, or 1 paragraph)Summarize the details of your test methods and the results from each statistical method you used. Explain the findings so that executives from both the agency and the company can understand your conclusion. (150–225 words, or 2–3 paragraphs)Finally, present recommendations for actions that the company might take to use your findings to better serve their customers in the future. (75 words, or 1 paragraph)

A binomial random variable X is defined as the number of successes achieved in the n trials of a Bernoulli process. Describe an event in your life that fits the properties of a Bernoulli process, being sure to explain how each property is met by your event. Finally, state the number of trials and the number of successes for your event. Be specific.The four properties for Bernoulli are,The experiment consists of a sequence of n identical trials.Two outcomes are possible on each trial. We refer to one outcome as a success and the other outcome as a failure.The probability of a success, denoted by p, does not change from trial to trial. Consequently, the probability of a failure, denoted by 1 − p, does not change from trial to trial.The trials are independent.