3.(25) A company produces 16 oz boxes for cereal and its customer will continue to accept the boxes if the variance in weight is less than or equal to 0.05 oz2. An engineer at the customer's facility collects data on 50 cereal box weights and they can be found in a file called cereal weights. The customer would like to know if they should continue to accept these boxes.

a.(5) Give the null and alternative hypotheses in this case b.(10) Determine the test statistic and make your decision based on =0.05. c.(5) Give the real-world answer d.(5) Show that the test that you used in part b was valid

cereal weights

16.4

16.5

16.2

16.3

16.3

16.2

16.3

16.5

16.6

16.5

16.7

16.2

16.5

16

16.2

16

16.3

16.2

16.7

15.9

15.9

15.7

16.3

16.1

16.5

16.2

16.4

16.4

15.8

16.5

16.3

16.6

15.8

16.3

16.1

16.2

16.2

16.6

16.4

16.3

16.4

16.1

16.1

16

16

16.3

16.7

16.4

16

16.6

3.(25) A quality engineer at a consumer healthcare company wants to determine whether there is a difference between their generic aspirin and a name-brand aspirin. Two groups of participants receive a 5-day course of one aspirin, followed by a 2-week washout period, and then a 5-day course of the other aspirin. Group 1 receives the generic aspirin (the test treatment) followed by the name-brand aspirin (the reference treatment). Group 2 receives the name-brand aspirin followed by the generic aspirin. Since they were worried about heartburn, the engineer measures the gastric pH on the last day of each treatment. The data can be found in a file called consumer. Before any of the main analysis can be done, the engineer knows that he needs to assess whether or not there is a difference between the variances of the two aspirin groups. Use all of the information that you have to test to see if there is a difference in the variances between the two aspirin groups. As usual, to get full credit you need to provide all information such as data checks, hypotheses, what test you are going to use and why and give the real-world answer.

Generic_1 Brand_1 Brand_2 Generic_2 3.92 4.01 3.76 3.51 4.22 4.66 4.69 3.73 5.55 5.66 4.53 3.91 3.66 3.93 3.31 3.21 4.76 4.78 3.19 2.76 3.91 3.87 4.24 3.83 3.58 4.23 4.36 4.25 3.93 4.17 5.41 4.94 3.29 3.52