A company says its premium mixture of nuts contains 13% Brazil nuts, 17% cashews

Question

A company says its premium mixture of nuts contains 13% Brazil nuts, 17% cashews, 18% almonds, and 12% 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 106 grams of Brazi nuts, 184 grams of cashews, 213 grams of almonds, 76 grams of hazelnuts, and 444 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises. a) Explain why the chi-square 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 a test? a) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out. ( The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts. A. O B. The chi-square goodness-of-fit test can only be used on quantitative variable, weights are counts, not quantitative variables. C. The expected values are percentages, and the actual values are not. Therefore the ch-square goodness-of-fit test cannot be used. 0 D. The chi-square goodness-of-fit test cannot be use to test this kind of claim b) What might you do instead of weighing the nuts in order to use a test? O 0 B. ° C. There is no way of performing a test without using weight. Count the number of each kind of nut, assuming the company's percentages are based on counts rather than weights. Find the volume of each kind of nut, assuming the company's percentages are based on volume.

Explanation / Answer

a) Chi - square analysis can only be used on counts. Here weights aren't counts.

Option A is correct.

b) Option B is correct.

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