Instructions Please complete all problems. Unless otherwise noted, each problem is worth 5 points. To obtain full credit, you must use the methods specified in the course text. Please, format your work as explained in chapter 2 of the Frequently Asked Questions (FAQ) document. When doing calculations, such as the variance, standard deviation, or the correlation coefficient, use technology wherever possible. Do not do calculations by hand unless | direct you to do so. Rounding. Round your z-scores to two decimal places when using a hormal distribution table to look up area values. Round areas under the normal curve found by calculator or Excel to four 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 of your calculations (Note: see FAQ 4.2). Testing claims. To avoid loss of points, you must include all 5 parts listed below whenever you are asked to test a claim or conduct a hypothesis test. 1. State the null hypothesis, Hy, and the alternate hypothesis, H,, indicating which is the claim. 2. Show the calculation of the test statistic. 3. Depending on the method you use, list either (a) the p-value or (b) find the critical value(s). Note: One tail tests have only one critical value, but two tail tests have two. 4. State decision whether to "reject" or "fail to reject" the null hypothesis, Hy. 5. State your conclusion about the claim. You should use the wording suggested by the author in section 7.1. You must be very careful about the wording, because is essentially an acceptable level of error that is assumed at the beginning of the test. Assignment Problems Important! Assume that all samples mentioned in this assignment are randomly selected. Section 7.1 1. True or False? A hypothesis test is a process that uses population parameters to test a claim about about a sample statistics. 2. Aresearcher claims the mean cost of a repair is greater or equal to $238. [5 points total for parts a and b.] 2a. State the null hypothesis for the research. 2b. State the alternate hypothesis for the research. 3. Determine whether a hypothesis test with the following hypothesis is left-tailed, right-tailed, or two-tailed. H, : o = 100 Instructions for problems 4-7. A company's shipping department claims that the average working hours per week is greater than 44 hours. Answer the questions. 4. Write the null hypothesis, Hy. 5. Write the alternate hypothesis, H,,. 6. Which hypothesis is the claim, Hy or H,? 7. What type of statistical test is needed (left-tail, right-tail, or two-tail)? Instructions for problems 8-9. A study claims that the proportion, p, of adults in the United States that use the internet is 68%. Answer the questions. 8. Write a sentence describing a type | error for a hypothesis test of the claim above. 9. Write a sentence describing a type Il error for a hypothesis test of the claim above. Instructions for problems 10-11. A postal worker claims that the average weight of all U.S. Postal parcel shipments is greater than 5.6 pounds. A hypothesis test is used to test the claim. Answer the questions. 10. What conclusion about the claim should be made if the null hypothesis is rejected? 11. What conclusion about the claim should be made if the researcher fails to reject the null hypothesis