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Homework answers / question archive / This problem uses the weights of poplar trees for Year 1 and Site 1

This problem uses the weights of poplar trees for Year 1 and Site 1

Statistics

This problem uses the weights of poplar trees for Year 1 and Site 1. If we use the weights for Year 2 and site 1, the analysis of variance results are shown above.

Assume we want to use a 0.05 significance level in testing the null hypothesis that the four treatments result in weights with the same population mean.

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a. What is the null hypothesis?

H0: There is no significant difference in the mean of four treatments

b. What is the alternative hypothesis?

H1: There is significant difference in the mean of four treatments

c. Identify the value of the test statistic

Test Statistic F=6.141270387

d. Find the critical value for a 0.05 significance level

Critical value F(3,16 ) = 3.239

e. Identify the P-value

p value = 0.0055664528

f. Based on the preceding results, what do you conclude about equality of the population means?

Since the p value is less than the significance value, we reject the null hypothesis that the effect of four treatments are equal

Please see the attached file.

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