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