A large company gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A sample of 20 employees is taken.

• Is the distribution of the sample means normal? Enter "yes" or "no" in blank #1.
• In blank #2 enter the probability that the test score for a randomly selected employee is between 73 and 77. (Round your answer to 4 decimal places and enter your answer as 0.1234 not .1234.)
• In blank #3 enter the probability that the average test score in the sample is less than 78.69. (Round your answer to 4 decimal places and enter your answer as 0.1234 not .1234.)
• In blank #4 enter the probability that the average test score in the sample is at least 82.68. (Round your answer to 4 decimal places and enter your answer as 0.1234 not .1234.)
• In blank #5 enter the probability that the average test score in the sample is between 70.14 and 82.14. (Round your answer to 4 decimal places and enter your answer as 0.1234 not .1234.)