Mathieu grows specialty tomatoes that are much larger than typical tomatoes. The distribution of their weights is strongly skewed to the left with a mean of 232 g and a standard deviation of 12 g. Suppose we were to calculate the mean weight from a random sample of 16 of Mathieu’s tomatoes. We can assume independence between tomatoes in the sample. What is the probability that the mean weight from the sample of 16 tomatoes T is within 6 g of the population mean?
A. P(226 < 5 < 238) — 0.38
B. P(226<ī <238) 0.45
C. P(226 < i <238) 0.88
D. P(226 < T <238) 0.95
E. We cannot calculate this probability because the sampling distribution is not normal.