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 SIGNEDRANKS 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 A8 







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 R_{1} & R_{2}, μ_{R}, σ_{R}, 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 fullsized 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 KruskalWallis 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 
FullSize 
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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