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A random sample of :11 = 89 organically grown potatoes had a sample mean weight of f1 = 3.8 ounces. Previous study shows the population standard deviation 0'1 = 0.9 ounces. A random sample of n; = 75 not organically grown potatoes had a sample mean weight of f2 = 4.1 ounces. Previous study shows the population standard deviation a; = 1.5 ounces. Does this sample evidence suggest that there is a difference between population mean weights of organically grown potatoes compared to those not organically grown? Use a 5% level of significance. a. [4 points] State the null and alternative hypotheses. b. [4 points] Calculate the test statistic. c. [8=5+3 points] Compute the p-value. Show the area corresponding to the P value. d. [4=2+2 points] Conclude the test. Then, interpret your conclusion in the context of the application