Weights (kg) of poplar trees were obtained from trees planted in a sandy and dry

Question

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 tour treatment categories yield poplar trees with the same moan 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. Test statistic F = 03801 P -value: 0.769. fail to reject H_0 = mu_1 = mu_2 =mu_3=mu_4. Test statistic: F = 8.7254. P -value: 0.00037. reject H_0= mu_1 = mu_2 = mu_3 = mu_4. Test statistic: F = 0.3801. P -value; 0 16. fail to reject H_0 = mu_1 = mu_2 = mu_3 = mu_4. Test statistic: F=8.7254 P-value: 0.4722. fail to reject H_0 = mu_1 =mu_2 =mu_3=mu_4. Test statistic: F = 5.2S78 P -value: 0.0061. reject H_0= mu_1 =mu_2 =mu_3=mu_4.

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

F = 0.3801

p - value = 0.787

Fail to reject Ho since p value is greater than level of significance i.e. 0.05.

Option A is correct.

Column n Mean Std. Dev. Std. Error No Treatment 5 1.19 0.62573956 0.27983924 Fertilizer 5 0.884 0.624924 0.27947451 Irrigation 5 1.188 0.34665545 0.15502903 Fertilizer and Irrigation 5 1.106 0.43598165 0.19497692

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