The heights of a certain species of deer have standard deviation 0.35 m. A zoologist takes a random sample of 150 deer and obtains a mean height of 1.42 m.

(a) Calculate a 96% confidence interval for the population mean height. [3]

(b) Bubay says that 96% of deer of this species are likely to have heights within this confidence interval. Explain briefly whether he is correct. [1]