Weights kg of poplar trees were obtained from trees planted

Weights (kg) of poplar trees were obtained from trees planted in a sandy and dry region. The trees were given different treatments identified in the table below. The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective in the sandy and dry region? Use analysis of variance for the indicated test.

No Treatment

Fertilizer

Irrigation

Fertilizer and Irrigation

0.24

0.92

0.96

1.07

1.69

0.07

1.43

1.63

1.23

0.56

1.26

1.39

0.99

1.74

1.57

0.49

1.80

1.13

0.72

0.95

Multiple Choice

a.)Test statistic : F= 0.3801, P value: 0.769, fail to reject Ho : U1=U2=U3=U4

b.)Test Statistic : F = 8.7254, P value : 0.00037, reject Ho: U1=U2=U3=U4

c.)Test Statistic : F= 0.3801, P value 0.16, fail to reject Ho: U1 =U2=U3=U4

d.)Test Statistic : F= 8.7254, P value : 0.4722, fail to reject Ho: U1= U2=U3=U4

e.)Test Statistic : F = 5. 2878, P Value : 0.0061, reject Ho: U1= U2=U3=U4

Solution

Sol)

Hence from above excel output

a.)Test statistic : F= 0.3801, P value: 0.769,

Hence p value > 0.05 , we fail to reject Ho :

H0:U1=U2=U3=U4