Chi-Square Homework

13.11 TRIX ARE FOR KIDS

Trix cereal comes in five fruit flavors, and each flavor has a different shape. A curious student methodically sorted an entire box of cereal and found the following distribution of flavors for the pieces of cereal in the box:

Test the null hypothesis that the flavors are uniformly distributed versus the alternative that they are not.

Flavor Grape Lemon Lime Orange Strawberry

Frequency 530 470 420 610 585

13.20 SMOKING BY STUDENTS AND THEIR PARENTS

How are the smoking habits of students related to their parents’ smoking? Here are data from a survey of students in eight Arizona high schools:

Student Smokes Student does not Smoke

Both Parents Smoke 400 1380

One Parent Smokes 416 1823

Neither Parent Smokes 188 1168

Cars (not from our book)

A random survey of autos parked in the student lot and the staff lot at a large university classified the brands by country of origin, as seen in the table. Are there differences in the national origins of cars driven by students and staff?

Student Staff

American 107 105

European 33 12

Asian 55 47