3. [7/10 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER A local brewery sells their beer in 330 ml bottles.

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3 7 10 Points Details Previous Answers My Notes Practice Another A Local Brewery Sells Their Beer In 330 Ml Bottles 1 (58.98 KiB) Viewed 14 times

3. [7/10 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER A local brewery sells their beer in 330 ml bottles. On average the beer is filled with 328.4 ml with a standard deviation of 0.8 ml. 1. Since it is possible to under-fill the bottle but impossible to fill the bottle with more than 330 ml, the distribution is: Symmetrical Skewed Left Skewed Right Normal. 2. Use this information to answer the following questions, and round your answers to four decimal places. a. What is the z-score for a six-pack with an average fill from all the bottles being 328.7 ml? 0.9186 b. What is the z-score for a twelve-pack with an average fill from all the bottles being 328.7 ml? 1.2990 c. What is the z-score for a twelve-pack with an average fill from all the bottles being 327.8 ml? -2.5981 You are interested in comparing the local brewery to a large chain. The large chain sells their beer in 330 ml bottles as well. On average the beer is filled with 327.9 ml with a standard deviation of 0.7 ml. 3. Let's consider the large chain. a. What is the z-score for a six-pack from the large chain with an average fill from all the bottles being 328.7 mi? 2.7994 b. Are you more likely to see a six-pack from the local brewery or a six-pack from the large chain with an average fill of 328.7 ml? Local Brewery Large Chain c. Are you more likely to see a twelve-pack from the local brewery or a twelve-pack from the large chain with an average fill of 327.8 ml? Local Brewery Large Chain Write smaller number first for both questions below. Round to 2 decimal places. 4. a. At the local brewery the middle 95% of six-packs will have an average fill between b. At the large chain brewery the middle 95% of six-packs will have an average fill between and ml and ml. ml.