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## After receiving complaints from McDonald’s customers in Japan about the amount of french fries being served, the on-line news magazine ”Rocket News” decided to test the actual weight of the fries served at a particular Japanese McDonald’s restaurant. According to the Rocket News article, the official weight standard set by McDonald’s of Japan is for a medium sized fries to weigh 135 grams. The publication weighed the fries from 36 different medium fries they purchased and found the average weight of the fries in their sample to be 130 grams with a variance of 225 grams. Research Question: Does the data suggest that the medium fries from this McDonald’s in Japan are underpacked? Use α =0.05. (a) Which of the following is the H0 ? (null) A.H0:μ ̸= 135 B.H0:x ̸= 135 C.H0:μ ≥ 130 D.H0:x ≥ 130 E.H0:μ ≤ 135 F.H0:x ≤ 135 G.H0:μ ≥ 135 H.H0:x ≥ 135 I. None of these Page 3 Hint: First read the problem and using my notes (or Hawkes) for 9.5, set up H0 and Ha . Then pick the right Ha from the above list. Dont try to guess the answer from the above list.

3. After receiving complaints from McDonald’s customers in Japan about the amount of french fries being served, the on-line news magazine ”Rocket News” decided to test the actual weight of the fries served at a particular Japanese McDonald’s restaurant. According to the Rocket News article, the official weight standard set by McDonald’s of Japan is for a medium sized fries to weigh 135 grams. The publication weighed the fries from 36 different medium fries they purchased and found the average weight of the fries in their sample to be 130 grams with a variance of 225 grams. Research Question: Does the data suggest that the medium fries from this McDonald’s in Japan are underpacked? Use α =0.05.

(a) Which of the following is the H0 ? (null) A.H0:μ ̸= 135

B.H0:x ̸= 135 C.H0:μ ≥ 130 D.H0:x ≥ 130 E.H0:μ ≤ 135 F.H0:x ≤ 135 G.H0:μ ≥ 135 H.H0:x ≥ 135

I. None of these

Page 3

Hint: First read the problem and using my notes (or Hawkes) for 9.5, set up H0 and Ha . Then pick the right Ha from the above list. Dont try to guess the answer from the above list.

1. (b)  Which of the following is the correct formula to compute Test Statistic (TS)?

135 − 130 A. √

15/ 36

130 − 135 B. √

15/ 36

135 − 130 C. √

225/ 36

130 − 135 D. √

225/ 36
E. None of these

2. (c)  What is the value of Test Statistic (TS)?

3. (d)  What is the critical value from Critical Table?

4. (e)  What is the p-value ?

5. (f)  Conclusion

A. Reject H0 B. Fail to reject H0

6. (g)  Interpretation

1. There is enough evidence (from data) in support of claim that MCdonald underpacks its french fries.

2. There is not enough evidence (from data) in support of claim that MC- donald underpacks its french fries.

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