A company says its premium mixture of nuts contains 10% Brazil nuts,22% cashews,
ID: 3237822 • Letter: A
Question
A company says its premium mixture of nuts contains 10% Brazil nuts,22% cashews,19% 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 109 grams of Brazil nuts,182 grams of cashews,208 grams of almonds,71 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.
A.
The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts.
B.
The chi-square goodness-of-fit test cannot be use to test this kind of claim.
C.
The expected values are percentages, and the actual values are not. Therefore the chi-square goodness-of-fit test cannot be used.
D.
The chi-square goodness-of-fit test can only be used on quantitative variable, weights are counts, not quantitative variables.
b) What might you do instead of weighing the nuts in order to use a test?
A.
Find the volume of each kind of nut, assuming the company's percentages are based on volume.
B.
There is no way of performing a test without using weight.
C.
Count the number of each kind of nut, assuming the company's percentages are based on counts rather than weights.
Explanation / Answer
a) Explain why the chi square goodness-of –fit test is not appropriate way to find it out.
Answer:
A. The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts.
b) What might you do instead of weighing the nuts in order to use a test?
Answer:
C. Count the number of each kind of nut assuming the company’s percentages are based on counts rather than weights.
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