# Project #17743 - HW5 biostat

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?

`find RR from table (preferred over p-value)`

 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.

`      write up 6 steps for test`
 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.

`(write up 6 steps use table if sample sizes less than 10)`

 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.

`(need 6 step write up)`

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

`(need 6 step write up)`

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) 11/27/2013 12:00 am
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