Two plots at Rothamsted Experimental Station (see reference in Problem 5) were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows:

Use a calculator to verify that, for the preceding data, s² ≈ 0.318.

Another random sample of years for a second plot gave the following annual wheat straw production (in pounds):

Use a calculator to verify that, for these data, s² ≈ 1.078.

Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots. Use a 5% level of signifi­cance?

Please provide the following information.

(a) What is the level of signi­ficance? State the null and alternate hypotheses.

(b) Find the value of the sample F statistic. What are the degrees of freedom?

What assumptions are you making about the original distribution?

(c) Find or estimate the P-value of the sample test statistic.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

(e) Interpret your conclusion in the context of the application.

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17 6.05 5.89 5.94 7.31 7.18 7.06 5.79 6.24 5.91 6.14 6.85 7.71 8.23 6.01 7.22 5.58 5.47 5.86