I am having trouble with this assignment and I am in need of some guidance with this one.
I am having trouble with this assignment and I am in need of some guidance with this one.
Assume you are working at the Consumer Protection Agency. Recently, you have been gettingcomplaints about the highway gas mileage of a new minivan. The car company agrees toallow you to select randomly 40 of its new minivans to test their highway mileage. Thecompany claims that its minivans get 28 miles per gallon on the highway. Your results show amean of 26.7 and a standard deviation of 4.2. You are not certain if you should create aconfidence interval or run a hypothesis test. You decide to do both at the same time. You runa one-tail test, two-tail test, and a confidence interval. You decide to accept an alpha risk of0.05.Part 1 (Confidence Interval):Calculate the confidence interval.Draw the bell-shaped curve, the upper and lower boundaries of the confidence intervaland the sample mean.Draw a vertical line representing the claimed mean.Is the claimed mean inside your confidence interval?Part 2 (Two-tail test):List the null and alternative hypotheses for the two-tail test. Calculate the critical valuesand observed value of the test statistic.Draw a picture of a bell-shaped curve with the critical test statistics.Add a vertical line for the observed test statistic.Is the observed test statistic in the critical region? Will the p-value be higher or lowerthan your alpha?Part 3 (One-tail test):List the null and alternative hypotheses for the one-tail test. Calculate the critical valueand observed value of the test statistic.Draw a picture of a bell-shaped curve with the critical test statistics.Add a vertical line for the observed test statistic.Is the observed test statistic in the critical region? Will the p-value be higher or lowerthan your alpha?Part 4 (Conclusion):
In your write-up, address at least the following:What conclusions did you reach? Specifically, what did you learn from each method?Were there important differences between methods?Which method would you prefer?Which carries a higher risk of a type I error?Based on this experience, why do you think it’s important to decide on themethodbeforeconducting the test?Note:The 1- to 2-page requirement does not include the graphs you prepare for thisAssignment. Embed the graphs you create in the Word document with your written responsesto the questions. Drawings may be hand-drawn and either scanned or photographed, or theymay be drawn using Minitab or other statistical drawing packages.
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