Is there sufficient evidence to justify the rejection

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Reference no: EM13903300

A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classes. Data collected from the two classes are as follows:

Section 1:  n1 = 28,   x1- = 80,   s1 = 16

Section 2:  n2 = 25,   x2- = 75,   s2 = 12

Her null hypothesis and alternative hypothesis are:

H0: = σ12 - σ22,    and   Ha: σ12 > σ22

Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.  

Determine the P-value for this test.  Show all work; writing the correct P-value, without supporting work, will receive no credit. 

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

Reference no: EM13903300

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