Question

The mean mass for ostrich eggs is 3.1 pounds, and standard deviation is .5 pounds. The masses have been found to be normal in distribution. Use this information to answer the following questions.

(a) Determine the probability that a randomly selected ostrich egg has a mass of more than 3.2 pounds.

(b) Determine probability that 9 randomly selected ostrich eggs have masses with sample mean more than 3.2 pounds.

(c) For part b, was it necessary to know that the masses were normally distributed, and why or why not?

(d) Determine probability that a sample of 81 such eggs have mean mass between 3.2 and 3.25 pounds.

(e) For part d, was it necessary to know that the masses were normally distributed, and why or why not? (f) Determine egg masses corresponding to top 15%

Answer 1