How big are tomatoes? Some say that depends on growing conditions. Random sample of n1 = 89 organically grown tomatoes had sample mean weight of x1 = 3.8 ounces. Another random sample of n2 = 75 tomatoes which were not organically grown had sample mean weight x2 = 4.1 ounces. Prior studies show that σ1 = 0.9 ounce and σ 2 = 1.5 ounces. Does this point to that there is a difference between population mean weights of organically grown tomatoes compared to those not organically grown? Use the 5% level of significance. (a) Define null and alternate hypotheses. (b) Determine the value of sample test statistic? (c) Determine(or estimate) P-value. (d) Based on the answers for parts (a) through (c), will you reject or fail to reject null hypothesis?