Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information about yield of sweet corn (in tons/acre)

Use a 5% level of significance to test the claim that there is no difference between the yield distributions.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Compute the sample test statistic. What is the sampling distribution?
What conditions are necessary to use this distribution?
(c) Find the P-value of the sample test statistic.
(d) Conclude the test.
(e) Interpret the conclusion in the context of the application.

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Method A 6.88 6.86 7.12 5.91 6.80 6.92 6.25 6.98 7.21 7.33 5.85 6.72 Method B 5.71 6.93 7.05 7.15 6.79 6.87 6.45 7.34 5.68 6.78 6.95