At a particular food processing factory, a machine is supposed to package mixed nuts such that each package contains 50% peanuts, 20% hazelnuts, 20% cashews, and 10% pecans. A randomly-selected can containing 500 of these mixed nuts was found to have 271 peanuts, 108 hazelnuts, 78 cashews, and 43 pecans. At the 5% significance level, determine whether the machine is mixing the nuts in the proper ratio.

Question

Mathematics

Henry Barker

20 February, 10:14

At a particular food processing factory, a machine is supposed to package mixed nuts such that each package contains 50% peanuts, 20% hazelnuts, 20% cashews, and 10% pecans. A randomly-selected can containing 500 of these mixed nuts was found to have 271 peanuts, 108 hazelnuts, 78 cashews, and 43 pecans. At the 5% significance level, determine whether the machine is mixing the nuts in the proper ratio.

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Answers (1)

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Marley Briggs · Answer 1

Answer: It is the proper ratio.

Step-by-step explanation: All of the numbers added together would make the 500 mixed nuts that it mentioned which would be 100%

271 plus 108 plus 78 plus 43 = 500