Question

Going nuts The UR Nuts Company sells Deluxe and Premium nut mixes, both of which

contain only cashews, Brazil nuts, almonds, and peanuts. The Premium nuts are much

more expensive than the Deluxe nuts. A consumer group suspects that the two nut mixes

are really the same. To find out, the group took separate random samples of pounds of

each nut mix and recorded the weights of each type of nut in the sample. Here are the

data:

Explain why we can’t use a chi-square test to determine whether these two distributions

differ significantly.

Short answer

We cannot perform a chi-square test, since the chi-square test requires the observational tallies rather than weights.

Step-by-step solution

Given information

We have been given the weights of different types of nuts in two mixes.

Explanation

We note that the given table contains weights, whereas we have not been given the observational checks for each cell. We will at that point not perform a chi-square test, because the chi-square test requires the observational checks rather than weights. That is, the variable is quantitative (numerical) rather than categorical and the chi-square test requires categorical factors.