Problem 1: The following article appeared in a previous issue of the Arizona Daily Sun (This is true, directly taken from the paper): \"PHILADELPHIA (AP) -- A Wendy's restaurant found itself in a pickle when city inspectors discovered that some hamburger patties were just shy of the advertised quarterpound [a pound = 16 ounces, so how many ounces would a quarter of a pound be? This is what you would expect if Wendy is being honest, right?]. Licenses and Inspections Commissioner Bennett Levin seized 984 Wendy's burgers Wednesday and distributed them to city homeless shelters and an emergency foster-care center. After his inspectors found that a sample of 24 burgers weighed as much as a quarter of an ounce less than advertised, he ned the Wendy's $100 a burger, or $98,400, in keeping with federal Department of Agriculture guidelines.\" The following weights of a representative 12 burgers were obtained: ghts in Ounces 3.25 4.25 4.00 3.75 3.85 3.90 4.30 4.10 3.60 3.50 3.25 2.95 Answer the questions below that will allow you to determine, statistically, if the mean of the sample was signicantly less than that of the population and the ne was warranted. Question 1: Which of the following is the research hypothesis for the test that you will use? Question 1: Which of the following is the research hypothesis for the test that you will use? 0 H1: Wendy's hamburger patties weigh more than 1/4 pound. 0 H1: Wendy's hamburger patties weigh less than 1/4 pound. H1: Wendy's hamburger patties weigh equal to or less than 1/4 pound. 0 H1: Wendy's hamburger patties weigh equal to or more than 1/4 pound. 0 H1: Wendy's hamburger patties weigh 114 pound. QUESTION 2 Question 2: Which of the following is the null hypothesis for the test that you will use? 0 H0: Wendy's hamburger patties weigh less than 1/4 pound. O HO: Wendy's hamburger patties weigh more than 1/4 pound. O HO: Wendy's hamburger patties weigh 114 pound. O HO: Wendy's hamburger patties weigh equal to or more than 1/4 pound. O HO: Wendy's hamburger patties weigh equal to or less than 1/4 pound. QUESTION 3 [Based on Problem 1] You want to keep the risk of falsely rejecting a true null at 1/100. Pick an alpha level that will allow this. O .10 O .05 O .01 O .001 O .0001 QUESTION 4 What is the critical value for your selected alpha level identied in the previous question? (Enter answer to three decimal places). QUESTION 5 [Based on Problem 1] What is the average weight of the patties in your sample? (Enter answer to two decimal places)