. Create the ANOVA table using the data from this experiment. The total sum of squares in this table is 640.21. Round final values to 2 decimals if necessary. B. Perform a hypothesis test to determine if there is significant evidence that nitrogen amount in this fertilizer affects soybean yield. In other words, test for a difference in the population mean soybean yield for plots with different nitrogen amounts. Use α = 0.05. Be sure to state the null and alternative hypotheses, calculate the test statistic, determine the critical value of the test, determine whether to reject or fail to reject the null hypothesis, and state a conclusion within the context of the problem. C. Based on your conclusion in Problem B, is it appropriate to perform multiple comparisons of the treatment mean yields? Justify your answer.
A. Create the ANOVA table using the data from this experiment. The total sum of squares in this table is 640.21. Round final values to 2 decimals if necessary.
B. Perform a hypothesis test to determine if there is significant evidence that nitrogen amount in this fertilizer affects soybean yield. In other words, test for a difference in the population mean soybean yield for plots with different nitrogen amounts. Use α = 0.05. Be sure to state the null and alternative hypotheses, calculate the test statistic, determine the critical value of the test, determine whether to reject or fail to reject the null hypothesis, and state a conclusion within the context of the problem.
C. Based on your conclusion in Problem B, is it appropriate to perform multiple comparisons of the treatment mean yields? Justify your answer.
Provided information is, an agricultural research scientist is interested in determining an appropriate amount of nitrogen for newly developed soybean fertilizer.
Data is:
|
|
|
Field |
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
|
60 lbs/acre |
52.9 |
45.3 |
53.0 |
59.0 |
44.6 |
|
65 lbs/acre |
43.3 |
38.5 |
50.8 |
53.4 |
53.2 |
|
70 lbs/acre |
48.8 |
47.0 |
53.8 |
61.6 |
53.7 |
|
75 lbs/acre |
58.2 |
53.6 |
55.0 |
57.0 |
56.3 |
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