Question

​Jody, a statistics​ major, grows tomatoes in her spare time. She keeps a record of the weight of each tomato she grows. One tomato is 2 standard deviations heavier than the mean weight. Assume a Normal model is appropriate. What percentile is it​ in?

Answer 1

97.7%

Explanation:

Given that Jody keeps a record of the weight of each tomato she grows. One tomato is 2 standard deviations heavier than the mean weight

Assuming normal model, we see that a normal distribution is symmetrical about the mean and hence we have this tomato weight is to the right side of mean. Hence we add with 0.5

`P(z <2) = 0.50+0.4772 = 0.9772`

i.e. This tomato is 97.7% above the others

Percentile = 97.7%