A company claims that 20% of their mixed nuts are cashews, 30% are almonds, and the rest are peanuts and that they thoroughly mix millions of nuts and a machine shoots them into packages of 200. In other words, individual packages will vary in their nut distribution just due to random chance. To test their claim I bought a package of their mixed nuts. It contained 200 nuts. I counted 25 cashews, 50 almonds, and 125 peanuts.

Question

Rishi

Business

3 April, 19:51

A company claims that 20% of their mixed nuts are cashews, 30% are almonds, and the rest are peanuts and that they thoroughly mix millions of nuts and a machine shoots them into packages of 200. In other words, individual packages will vary in their nut distribution just due to random chance. To test their claim I bought a package of their mixed nuts. It contained 200 nuts. I counted 25 cashews, 50 almonds, and 125 peanuts.

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Answers (1)

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Aldo Andersen · Answer 1

According to this sample, the claim of the company is not true.

Explanation:

Giving the following information:

A company claims that 20% of their mixed nuts are cashews, 30% are almonds, and the rest is peanuts and that they thoroughly mix millions of nuts and a machine shoots them into packages of 200.

To test their claim I bought a package of their mixed nuts. It contained 200 nuts. I counted 25 cashews, 50 almonds, and 125 peanuts.

We need to calculate the proportion of each type of nuts in the package sample.

Proportion = type of nuts / total nuts

Proportion cashews = 25/200 = 0.125

Proportion almonds = 50/200 = 0.25

Proportion peanuts = 125/200 = 0.625

According to this sample, the claim of the company is not true.