1. The average score of a Statistics test are normally distributed with a mean of 76 and a standard deviation of 18. Find the probability that the mean score of 36 randomly selected students is between 72 and 84.*

2. A random sample of 16 students has an average score of 76 and standard deviation of 18. Form a 99% confidence interval for population mean. Note: Write your answer in interval form, e.g., (1. 0112, 2.3501)*

3. 14.75% of the population is in favor of a new park. If 400 citizens were surveyed, what is the probability that between 13% and 17% of them will be in favor of the new park?*

4. How large a sample would be necessary to estimate the true population mean in a large population within 4%, with 95% confidence? Assume population standard deviation is 0.28.*