A portal has appeared in the town of Alena, and from it, a mass of monsters has emerged. The adventurers in the Dawn Bringers Guild have been assigned to defeat the mages that have come out of the portal. In a group of 67 monsters that have come out of the portal, 16 of them are mages. The Guild Master makes the claim that more than 19% of the monsters beyond the portal must be mages. Answer the following questions to see if the Guild Master's claim is accurate.
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Step 1
The number of monsters in the group is 67. The number of mages in the group is 16. Step 2: Calculate the percentage of mages in the sample. Percentage of mages = (Number of mages / Total number of monsters) * 100 Percentage of mages = (16 / 67) * 100 Show more…
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In Howl’s Moving Castle, when magicians fight in the war caused by the disappearance of the foreign prince (who was transformed into Turnip Head,) they take the shape of bird-like creatures. Madame Suliman, the king’s magical adviser, wants to know how many enemy magicians fight on average per battle. A sample of 11 battles had an average of 67 enemy magicians per battle. Suliman has determined that the population standard deviation for the number of enemy magicians per battle is 8.3. Find a 99% confidence interval for the average number of enemy magicians per battle.
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