Math 165

Sample 3rd Midterm

Dr. Wilson

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1. A gambler suspects that a die is loaded. She rolls the die 60 times and gets the following results.

Face

1

2

3

4

5

6

Count

24

7

8

9

7

5

2. A study was conducted to see if a student's year in school had any effect on how well they did in their classes. The following data for all the students in all their classes was obtained from the Registrar.

A

B

C

D

F

Fresh

1569

1567

1214

432

987

Soph

1484

1581

1322

212

643

Jun

1592

1609

1472

153

421

Sen

1685

1623

1211

75

315

Use a chi-square test to determine if there is a significant difference between the grades received by students in different classes.

3. An Environmental Studies class did a survey to determine the relation between engine size and fuel consumption. They obtained the following data for five types of cars.

Car

Size

MPG

A

1.6

38

B

1.8

29

C

2.2

32

D

3.2

24

E

4.7

17

where the engine size is given in liters and the mileage is given in miles per gallon. The question is whether engine size has an effect on gasoline mileage.