A farmer is interested in whether there is any variation in the weights of apple

Question

A farmer is interested in whether there is any variation in the weights of apples between two trees. Data collected from the two trees are as follows:

Tree 1: n1 = 201, x bar1 = 8.2oz, s1 = 0.6 oz   

Tree 2: n2 = 251, x bar2 = 7.8 oz, s2 = 0.5 oz  

Her null hypothesis and alternative hypothesis are:

A). Determine the test statistic. show work

B). Determine the P-value for this test. show work

C). Is there sufficient evidence to justify the rejection of H0 at the signficance level of 0.05? Explain.

Explanation / Answer

answer A) test statistic F = s12/s22 ,for an upper one-tailed test and

F=(.6/.5)2=1.44, df=(200,250)

answer of part (b)

p-value=F(1.44,200,250)=.00316

answer of part c)

yes, there is sufficient evidence to justify the rejection of H0 at the signficance level of 0.05 because p-value is less than alpha =.05

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