PROTEUS

              

 

 

 

 

 

 

 

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Solution in detail.......#52

Note that you do not have the complete data, only the means, totals, and N for each group.

Null hypothesis: That there is NO real difference in effectiveness between the means of three pesticide types and that any observed difference is only due to random (chance) error.

 

 

ANOVA

ss

df

ms

F

P

bss

486.01

2

243.00

6.17

<0.01

wss

1655.24

42

39.41

tss

 

44

     

 calculated F: 6.17   exceeds critical F(0.01)(2,42 df) = (less than 5.18)

              therefore can reject Ho     P<0.01

There was a difference between the means that is unlikely (less than 1% likely) to have been due to chance alone. We can reject the null hypothesis and claim statistical significance at 0.01 level    The highest (best) efficiency in terms of insect kill rate out of 50 was from method B (38/50), followed  by method A (20/50), while the lowest score was associated with method C (12/50) Method B is approximately twice as efficient as A and more than 3 times as efficient as C.

Please note (Nov 9, 2012):  the values shown in red have been adjusted to correct some editing errors.