Project #16947 - Biostats

 

CHAPTER 12                                                                                                           

 

P 578 # 5. ) USE THE SIGN TES. The listed values are the yields of straw in cwts per acre, where cwt represents 100 pounds. Using 0.05 significance level, test the claim that there is no difference between the yields from the two types of seed. Does it appear that either type of seed is better?

 

Regular

19.25

22.75

23

23

22.5

19.75

24.5

15.5

18

14.25

17

Kiln Dried

25

24

24

28

22.5

19.5

22.25

16

17.25

15.75

17.25

 

 

 

P 585 # 3.) USE THE WILCOXON SIGNED-RANKS TEST TO TEST THE CLAIM THAT BOTH SAMPLES COME FROM POPULATIONS HAVING DIFFERENCES WITH A MEDIAN EQUAL TO ZERO.

Regular

19.25

22.75

23

23

22.5

19.75

24.5

15.5

18

14.25

17

Kiln Dried

25

24

24

28

22.5

19.5

22.25

16

17.25

15.75

17.25

 

 

Wilcoxon Signed Rank

 

TABLE A-8

 

 

 

 

 

 

Rejection region

 

W <= table value

 

 

 

 

 

 

.005 (1 tail)

.01 (1 tail)

.025 (1 tail)

.05 (1 tail)

n

.01 (2 tails)

.02 (2 tails)

.05 (2 tails)

.10 (2 tails)

 

 

 

 

 

5

*

*

*

1

6

*

*

1

2

7

*

0

2

4

8

0

2

4

6

9

2

3

6

8

10

3

5

8

11

11

5

7

11

14

12

7

10

14

17

13

10

13

17

21

14

13

16

21

26

15

16

20

25

30

16

19

24

30

36

17

23

28

35

41

18

28

33

40

47

19

32

38

46

54

20

37

43

52

60

21

43

49

59

68

22

49

56

66

75

23

55

62

73

83

24

61

69

81

92

25

68

77

90

101

26

76

85

98

110

27

84

93

107

120

28

92

102

117

130

29

100

111

127

141

30

109

120

137

152

 

 

 

P 589 #1.) Use a 0.05 significance level with the methods of this second to identify the rank sums R1 & R2, μR, σR, the test statistic z, the critical z values, and then state the conclusion. 

 

Sample 1 Values

1

3

4

6

8

12

15

16

17

22

26

 

Sample 2 values

2

5

7

9

11

13

14

18

19

20

25

26

 

 

P595 #7) Use the listed sample data from car crash experiements conducted by the National Transportation Safety Administration. New cars were purchased and crashed into a fixed barrier at 35mi/h and the listed measurements were recorded for the dummy in the driver’s seat. The subcompact cars are the Ford Escort, Honda Civic, Hyundai Accent, Nissan Sentra, and Saturn SL4. The compact cars are Chevrolet Cavalier, Dodge Neon, Mazda 636 DX, Pontiac Sunfire, and Subaru Legacy. The midsize cars are Chevrolet Camaro, Dodge Intrepid, Ford Mustag, Honda Accord, and Volvo S70. The full-sized cars are Audi A8, Cadillac Deville, Ford Crown Victoria, Oldsmobile Aurora, and Pontiac Bonneville.

 

Head injury data (in units of a standard head injury condition or hic) are given below. Use the Kruskal-Wallis test with a 0.05 significance level to test the null hypothesis that the different weight categories have different medians. Do the data suggest that larger cars are safer?

Subcompact

681

428

917

898

420

Compact

643

655

442

514

525

Midsize

469

727

525

454

259

Full-Size

384

656

602

687

360

 

 

P 603 #9.) Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of α=0.05

An example in this section included paired salary and stress level ranks for 10 randomly selected jobs. The physical demands of the jobs were also ranked; the salary and physical demand ranks are given below (based on data from The Jobs Almanac). Does there appear to be a relationship between the salary of a job and its physical demands?

Salary

2

6

3

5

7

10

9

8

4

1

Physical Demand

5

2

3

8

10

9

1

7

6

4

 

Subject Mathematics
Due By (Pacific Time) 11/21/2013 12:00 pm
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