A company says its premium mixture of nuts contains 13 % Brazil nuts, 19 % cashews, 17 % almonds, and 8 % 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 111 grams of Brazil nuts, 183 grams of cashews, 209 grams of almonds, 79 grams of hazelnuts, and 437 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

X2

test?

Question

Mathematics

Hugo Burns

7 March, 00:43

A company says its premium mixture of nuts contains 13 % Brazil nuts, 19 % cashews, 17 % almonds, and 8 % 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 111 grams of Brazil nuts, 183 grams of cashews, 209 grams of almonds, 79 grams of hazelnuts, and 437 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

X2

test?

+4

Answers (1)

Know the Answer?

Chris Stanton · Answer 1

A) There are no Counts

B) I'll count the number of each type of nut.

Step-by-step explanation:

A) Yes, the Chi-square is not an appropriate method because the question gave us the weight of the nuts in grams and these are not counts. Whereas, the chi-square goodness-of-fit test requires that the data values are counts.

B) What i will do instead is that i will count the number of each type of nut and assume that the given percentages are also relevant for each type of nut.