Question

Below is the Excel output from a single factor ANOVA analysis. The data was collected to measure the effect of fertilizer amount on the pH of soil samples. Anova: Single Factor SUMMARY Groups Count Sum Average Variance 0 3 23.280 7.760 0.011 0.11 3 23.300 7.767 0.012 0.19 3 23.340 7.780 0.017 0.38 3 23.530 7.843 0.020 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 0.013 3 0.004 0.289 0.832 4.066 Within Groups 0.121 8 0.015 Total 0.134 11 A hypothesis test will be done to determine whether or not to accept the shipment. According to the output, the fertilizer level had a significant effect on the pH of soil samples. True False

Answer 1

False

Explanation:

In the question, it is given a output of a single factor ANOVA analysis. It provided the measure of the effect of the amount of fertilizer on the pH of the soil samples.

pH may be defined as the content of alkalinity or acidity of a solution or the sample on a logarithmic scale. The pH value of 7 is considered to be neutral.

From the data sheet in the context, the p value of the ANOVA analysis is 0.8324. This value is very large value. So the results are not very statistically significant. As the p value is large, therefore, the answer is false.