certain fruit’s weights are normally distributed, with a mean of 290 grams and a standard deviation of 33 grams. A random sample of 23 pieces of fruit is taken.

Question

(a) Does the CLT apply for this scenario? Explain.

(b) Define 𝑋

Answer 1

Yes because the population is normal.

x = the mean fruit weight, which is normally distributed with mean 290 and standard error 33/square root(23).