Twelve plots of land are divided into 3 groups. Fertilizers A and B are applied

Question

Twelve plots of land are divided into 3 groups. Fertilizers A and B are applied to the first two groups, while the third group is a control C with no fertilizer. The yields were as follows: A B C 75 74 60 70 78 64 66 72 65 69 68 55 Null hypothesis: three groups have the same population mean. Find out the F ratio, the degree of freedom for F and the p-value for null hypothesis. Part B) In a large American university in 1969, the male and female professors were sampled independently, yielding the following annual salaries (in thousands of dollars, rounded. From Katz, 1973): Men Women 12 9 11 12 19 8 16 10 22 16 Null hypothesis: Male and female have the same annual salary. Find out the F ratio, the degree of freedom for F and the p-value for null hypothesis.

Explanation / Answer

Null Hypothesis:three groups have the same population mean.

Alternative hyp: Atleast one group mean is not equal

b) Null hypothesis: Male and female have the same annual salary

Alternative hyp: Null hypothesis: Male and female have the different annual salary

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 4 280 70 14 B 4 292 73 17.33333 C 4 244 61 20.66667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 312 2 156 9 0.007128 4.256495 Within Groups 156 9 17.33333 Total 468 11

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