Degree of certainty independent of credits earned


Assignment:

Q1 Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned?

Credits Earned

Very Uncertain

Somewhat Certain

Very Certain

Row Total

0-9

12

8

3

23

10-59

8

4

10

22

60 or more

1

7

11

19

Col Total

21

19

24

64

Q2: A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .05, does vehicle type vary by mall location? (Data are from a project by MBA students Steve Bennett, Alicia Morais, Steve Olson, and Greg Corda.)

Vehicle Type

Somerset

Oakland

Great Lakes

Jamestown

Row Total

Car

44

49

36

64

193

Minivan

21

15

18

13

67

Full-sized Van

2

3

3

2

10

SUV

19

27

26

12

84

Truck

14

6

17

9

46

Col Total

100

100

100

100

400










Q3: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as "Low" (under 88 decibels), "Medium" (88 to 91 decibels), or "High" (92 decibels or more). There are three flight phases (Climb, Cruise, Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase? (Data are from Capt. Robert E. Hartl, retired.)

Noise Level

Climb

Cruise

Decent

Row Total

Low

6

2

6

14

Medium

18

3

8

29

High

1

3

14

18

Col Total

25

8

28

61

Q4: Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At α = .05, is the correctness of the prediction different for the two types of cola drinkers? Could you identify your favorite brand in this kind of test? Since it is a 2 × 2 table, try also a two-tailed two-sample z test for π1 = π2 (see Chapter 10) and verify that z2 is the same as your chi-square statistic.Which test do you prefer? Why? (Data are from Consumer Reports 56, no. 8 [August 1991], p. 519.)

CORRECT?             REGULAR COLA    DIET COLA    ROW TOTAL
YES, GOT IT RIGHT     7                    7                 14
NO, GOT IT WRONG    12                  20                32
COL TOTAL               19                   27               46

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