13 Five different fertilizer treatments (F1-F5) were applied to a number of plot

Question

13 Five different fertilizer treatments (F1-F5) were applied to a number of plots of corn. Crop yields were recorded. The data labels are colored yellow and the data are colored green. The blue statistics are not part of the data. They generate the lines connecting the groups Fertilizers F3 68.5 79.1 80.5 85.8 76.3 84.4 Fertilizer Design F2 63.5 74.1 75.5 80.8 71.3 79.4 F4 79.1 90.3 85.6 81.4 74.5 95.3 F5 87 91.2 75.3 79.4 80.7 82.8 F1 23 25 37 120 Yield 26 Yield 6O Group means connected by line 20 In this problem, are the data grouped by Columns Rows If the Input Range in Data Analysis ANOVA: Single Factor is D51 H57, is the Labels check box checked? If the input Range in Data Analysis ANOVA: Single Factor is D50:H57, is the Labels check box checked? Run ANOVA: Single Factor with alpha 0.05 on the data in # 13 (green area), take care to use checkbox Labels correctly, and locate the output to the right. In the ANOVA output, the test statistic- In the ANOVA output, the critical value- What is the decision rule for rejecting H0 in terms of the test statistic and critical value? Does the critical value rule reject HO? In the ANOVA output, the pvalue What is the decision rule for rejecting HO in terms of the pvalue and alpha? Does the pvalue rule reject Ho? Are the group means different? Do the rejection rules using critical value and pvalue lead to the same decision, or can one rule reject H0 and the other rule not reject HO? Do your answers in # 15 16 17 18 19 20 21 25 25 20 and agree? If they do not agree, there is an error.

Explanation / Answer

Run one way ANOVA in excel

data>data analysis>ANOVA singlefactor>OK

You get below output:

ANSWERS TO QUESTIONS

Solution17

Test statistic F=90.9434

Solution18:

F critical=2.742594

Solution19:

F stat>F crit

Reject Null hypothesis.

5 group means are different

Solution20:

YES

since F=90.9434

F crit=2.742594

F>Fc rit

Anova: Single Factor SUMMARY Groups Count Sum Average Variance F1 6 163 27.16667 26.16667 F2 6 444.6 74.1 39.028 F3 6 474.6 79.1 39.028 F4 6 506.2 84.36667 58.03067 F5 7 586 83.71429 33.4681 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 14160.24 4 3540.06 90.9434 6.79909E-15 2.742594 Within Groups 1012.075 26 38.92597 Total 15172.32 30

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