28.03.2023 - 03:50

As Quality Control officer for the Maui Onion Potato Chips division of the Tasty Hawaiian Snacks Co., we decide to test whether our chip bagger is correctly bagging our 28.3 gram snack bags. We rand

Question:

As Quality Control officer for the Maui Onion Potato Chips division of the Tasty Hawaiian Snacks Co., we decide to test whether our chip bagger is correctly bagging our 28.3-gram snack bags.

We randomly sample 55 bags from the production line. The weights of the bags (gms) are recorded in the table below.

a. Use Minitab to conduct a 2-sided hypothesis test at the 5 % level based on our sample. Report your conclusion, stated in terms of the sampling scenario.

b. Briefly comment on why a 2-sided test may be more appropriate here than a 1-sided test.

c. Use Minitab to compute the power of the 2-sided test conducted in part a. (Use a difference of 0.15.)

d. Based on your computation in part c, what is the probability of Type II {eq}( beta) {/eq} error for this test? (Since this test fails to reject the null, {eq}beta {/eq} is more informative than power for evaluating our result. Do you understand why?)

Chip Wgts. (gms):

25.9 ,29.5 30 ,29.6 ,27 ,25 ,29 ,28.6 ,28.9 ,29.5

28.2 ,26.5 ,28.4 ,28.6 ,26.8 ,26.3 ,26.1 ,27 ,28.8

27.8 ,24.7 ,27.8 ,27.3 ,29.3 ,29.5 ,28.8 ,27.7 ,27.4

30.5 ,28.4 ,28.2 ,27.4 ,26 30.1 ,28.1 ,28.5 ,29.4 ,27.2

29 30.5 30.8 ,29.4 ,26.2 ,28.4 ,29.4 ,29.6 ,27.7 ,28.2

26.3 ,27.1 ,29.6 ,29.5 ,27.3 ,28.9 ,27.2

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