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 \[232\,\text{g}\] and a standard deviation of \[12\,\text{g}\]. 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 \[\bar x\] is within \[6\,\text{g}\] of the population mean? Choose 1 answer: Choose 1 answer: (Choice A) \[P(226 <\bar x < 238) \approx 0.38\] A \[P(226 <\bar x < 238) \approx 0.38\] (Choice B) \[P(226 <\bar x < 238) \approx 0.45\] B \[P(226 <\bar x < 238) \approx 0.45\] (Choice C) \[P(226 <\bar x < 238) \approx 0.88\] C \[P(226 <\bar x < 238) \approx 0.88\] (Choice D) \[P(226 <\bar x < 238) \approx 0.95\] D \[P(226 <\bar x < 238) \approx 0.95\] (Choice E) We cannot calculate this probability because the sampling distribution is not normal. E We cannot calculate this probability because the sampling distribution is not normal.
