A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews
ID: 3359869 • Letter: A
Question
A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, and 10% hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weighing them, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is statistically significantly different from what the company advertises. (a) Explain why the 2 goodness of fit test is not an appropriate way to find out. (b) What might you do instead of weighing the nuts in order to use the 2 goodness of fit test?
Explanation / Answer
a) Chi square test here is not appropriate, because the data i.e. the nuts are given in grams( it is quantitative measure) and Chi square goodness of fit is applicable when the data are given in counts, Chi square good of fit test compares counts to the distribution , therefore we cannot apply Chi square goodness of fit test here.
b) Count the number of each type of nut to use Chi square goodness of fit test.
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