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22 March, 08:53

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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  1. 22 March, 11:08
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    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.
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