Chapter 26, Problem 5E

a)

To determine

To explain why Chi-square goodness of fit test would not be appropriate.

Answer to Problem 5E

Because no count given.

Explanation of Solution

Given:

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 significantly different from what the company advertises.

There is weights in grams given for each nuts. The condition to use the Chi-square goodness of fit is that there should be count for each nut. So, this condition not satisfied. Hence, not appropriate to use Chi-square goodness of fit.

b)

To determine

To explain what changes do need to useChi-square goodness of fit test.

Answer to Problem 5E

It is necessary to count the number of each type of nuts.

Explanation of Solution

Given:

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 significantly different from what the company advertises.

The condition to use the Chi-square goodness of fit is that there should be count for each nut. Therefore, one can do that to count the number of each type of nuts.