# In a study of distances travelled by buses before the first major engine failure

A. INSTUCTIONSUsing Word, please answer the questions below. When answering the questions be sure to show your work. A formula sheet has been attached to help with some of the special characters and formula in your answers.BE SURE TO STATE QUESTION NUMBER. (e.g. Question 1)At the bottom of this page you will find two attached files:A formula sheet, Formula .doc, that has two purposes:To give you any formula you may need.To allow you copy formula and special characters from the Word document into your Word answer sheet.A template sheet, template4.doc, that you can use to answer the questions.Download the attached files:Click Formula .doc in the Attachments: section below.Click Save for Internet Explorer. Firefox will open the file in Word.Save the file in a folder you have set aside for class work (e.g. “BSTA300”).Repeat steps i – iii to download template4.doc.In answering these questions use the 4 steps outlined in this Module:The following 4-steps are the expectation for hypothesis testing for this course.Step 1. Hypothesis statement (claim).Step 2. Test statistic (formula).Step 3. Bell curve figure (two tails or one tail) and table (large sample, Table A-2 and small sample, Table A-3).Step 4. Conclusion. Reject or fail to reject the hypothesis, Ho.B. QUESTIONSQuestion 1: (5marks)In a study of distances travelled by buses before the first major engine failure, a sampling of 191 buses resulted in a mean of 154,700 km and a standard deviation of 60,000 km. At the 0.05 level of significance, test the manufacturerâs claim that mean distance travelled before a major engine failure is more than 144,000 km. Use the 4 steps outlined in the examples in Module 13 to answer this question.Question 2: (5 marks)A night time cold medicine bears a label indicating the presence of 600 mg of acetaminophen in each fluid ounce of the drug. Suppose that Health Canada randomly selected 65 one-ounce samples and found that the mean acetaminophen content was 589 mg and the standard deviation was 21 mg. Using ? = 0.02, test the claim of the pharmaceutical company that the population mean is different from 600 mg. Would you by this cold medicine? Give your reasons.Question 3: (5 marks)Use a significance level of ? = 0.02 to test the claim that Âµ ? 64.8. The sample data consist of 12 scores for which the = 59.8 and s = 8.7.Question 4: (5 marks)The expense of moving the storage yard for the Consolidated Package Delivery Service (CPDS) is justified only if it can be shown that the daily mean travel distance will be less than 342 km. In trial runs of 12 delivery trucks, the mean and standard deviation are found to be 318 km and 67 km, respectively. At the 0.01 level of significance, test the claim that the mean is less than 342 km. Should the storage yard be moved? Give your reasons.