The heights of European 13-year-old boys can be approximated by a normal model with meanof63inches and standard deviationof2.34inches.

Question 1. What is the probability that a randomly selected 13-year-old boy from Europe is taller than65.2inches?

(use 4 decimal places in your answer)

Question 2. A random sample of 4 European 13-year-old boys is selected. What is the probability that the sample mean heightxis greater than65.2inches?

(use 4 decimal places in your answer)

Question 3. A random sample of 9 European 13-year-old boys is selected. What is the probability that the sample mean heightxis greater than65.2inches?

(use 4 decimal places in your answer)

Question 4. The Central Limit Theorem was needed to answer questions 1, 2, and 3 above.

True OR False??