The U-Plant’um Nursery must determine if there is a difference in the growth rat

Question

The U-Plant’um Nursery must determine if there is a difference in the growth rate of saplings that have been treated with different chemical formulas. Since soil condition is a consideration, saplings treated with each formula are planted in each of three types of soil. The resulting growth rates over a given period are shown here. Does a difference appear to exist in the growth factor of the formulas after controlling for soil? Set alpha = 0.01. (16 pts) Use Excel.

                                                                        FORMULA

SOIL TYPE                            1                      2                      3                      4

Sandy                                    10                   8                      5                      7

Clay                                        12                   15                   17                   14

Rocky                                     17                   16                   15                   15

Explanation / Answer

Ans:

df=(3-1)*(4-1)=2*3=6

p-value= 0.8561

As,p-value>0.01,We fail to reject null hypothesis.

Hence,we do not have sufficient evidence to suggest that there is difference in the growth rate of saplings that have been treated with different chemical formulas

Observed(O) Formula 1 2 3 4 Total Sandy 10 8 5 7 30 clay 12 15 17 14 58 rocky 17 16 15 15 63 Total 39 39 37 36 151 Expected(E) Formula 1 2 3 4 Total Sandy 7.75 7.75 7.35 7.15 30 clay 14.98 14.98 14.21 13.83 58 rocky 16.27 16.27 15.44 15.02 63 Total 39 39 37 36 151 Chi square=(O-E)^2/E 0.654 0.008 0.752 0.003 0.593 0.000 0.547 0.002 0.033 0.005 0.012 0.000 Total chi square=2.609

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