Instructions Please complete all problems. Unless otherwise noted, each problem is worth 5 points. To obtain tull credit, you must use the methods specified in the course text. Aease, format your work as explained in chapter 2 ot the Frequently Asked Questions (FAQ) document When doing calculations, such as the variance, standard deviation, or the correlation coefficient, use technology wherever possible. There is no need to do calculations by nand unless I direct you to do so. Rounding. You should round your z-scores to two decimal places when using a normal distribution table and the areas under the normal curve to decimal places. When using the t-distribution or doing other calculations, round to 3 decimal places unless otherwise directed. Never round until the last step ot your calculations (Note: see FAQ 4.2). Testing claims. To avoid loss ot points, you must meet all 5 requirements listed below whenever you are asked to test a claim or conduct a hypothesis test 2 3. 4. 5. State the null hypothesis, Ho, and the alternate hypothesis, Ha, indicating which is the claim. snow the calculation ot the test statistic. Depending on the method you use, list either (a) the p-value or (b) find the critical value(s). Note: One tail tests nave only one critical value, but two tail tests have two. State decision whether to reject or "fail to reject" the null hypothesis, Ho. State your conclusion about the claim. You should use the wording suggested by the author in section 7. Assignment Problems Important! Assume that all samples mentioned in this assignment are randomly selected. Section 7.1 1. True or False? It the claim in a hypothesis test is the alternative hypothesis, the conclusion for the hypothesis test must relate to wnetner ot not the claim is rejected Problems 2-3. A researcher claims that > 53. 2. State the null hypotheses tor the research. 3. State the alternate hypotheses tor the research. 4. What type ot hypothesis test is required (left-tail, right-tail, or two tail)? 5. True or false? A type 2 error occurs when the null hypothesis is not rejected when it is true. Problems 6-8. A company's shipping department claims the number ot shipping errors per million shipments nas a mean that is greater than 3C A hypothesis test will be conducted to test this claim. 6. Write the null hypothesis, Ho 7. Write the alternate hypothesis, Hu 8. Which of the hypotheses above is the claim? 9. What type ot statistical test is needed (lett-tail, right-tail, or two-tail)? 10. True or false? The statement ot conclusion tor this test should be about wnetner or not to reject the claim.