**Statistics 1**

**Statistics 1**

Stat 230 Spring 2014 – Final Exam Page 1 Please answer all 30 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from program software packages will not be accepted. You must include the Honor Pledge on the title page of your submitted final exam. Exam submitted without the Honor Pledge will not be accepted. Honor Pledge: “I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination.” Use the information below to answer Questions 1 through 3. Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we perform the following hypothesis test. Since n>30, this is a Z test. Null Hypothesis H0 😕 ? 700 Alternative Hypothesis Ha 😕 ? 700 1. What is the test statistic? What is the p-value? 2. At a 5% significance level (95% confidence level), what is the critical value(s) in this test? Do we reject the null hypothesis? 3. What are the border values of x between acceptance and rejection of this hypothesis? Stat 230 Spring 2014 – Final Exam Page 2 Questions 4 through 7 involve rolling of dice. 4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a “1” each time? 5. What is the probability of getting a “1” on the second roll when you get a “1” on the first roll? 6. The House managed to load the die in such a way that the faces “2” and “4” show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a “5” when rolling this loaded die? 7. Write the probability distribution for this loaded die, showing each outcome and its probability. Use the data in the table to answer