1. Below is the Excel output from a single factor AN OVA analysis. The data was
ID: 3235674 • Letter: 1
Question
1. Below is the Excel output from a single factor AN OVA analysis. The data was collected to measure the effect of fertilizer amount on the pH of soil samples. A hypothesis test will be done to determin e whether or not to accept the shipment.
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
0 3 23.28 7.76 0.0112
0.11 3 23.3 7.766667 0.012433
0.19 3 23.34 7.78 0.0171
0.38 3 23.53 7.843333 0.019633
ANOVA S ource of Variation SS df MS F P-value F crit
Between Groups 0.013092 3 0.004364 0.289159 0.832153 4.0661806
Within Groups 0.120733 8 0.015092
Total 0.133825 11
(a) How many fertilizer levels were studied? (b) What were the fertilizer levels? (c) How many measurements were taken at each level? (d) According to the output, did the fertilizer leve l have a significant eff ect? Explain why you came to that conclusion. (e) How would you explain, in terms of the “within group” and “betw een group” variance, why the results turned out the way they did?
Please help with these questions, thank you
Explanation / Answer
(a) 3 + 1 = 4 fertilizer levels were studied
(b) They were 0, 0.11, 0.19, 0.38
(c) 3 measurements
(d) p- value for fertilizer levels is > 0.05, so fertilizer level does not have a significant effect
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