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 x̅₁ = 3.8 ounces. Another random sample ofn₂ = 75 tomatoes that were not organically grown had a sample mean weight x̅₂ = 4.1 ounces. Previous studies show that σ₁ = 0.9 ounce and σ₂ = 1.5ounces. 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.