3) A normally distributed population has a mean of 80 and a standard deviation of 16. Determine the probability that a random sample of size 25 has an average greater than 74. Round to four decimal places.

4) A normally distributed population has a mean of 73 and a standard deviation of 16. Determine the probability that a random sample of size 38 has an average between 75 and 81. Round to four decimal places.

5) A normally distributed population has a mean of 76 and a standard deviation of 19. Determine the probability that a random sample of size 30 has an average greater than 74. Round to four decimal places.

6) A normally distributed population has a mean of 74 and a standard deviation of 14. Determine the probability that a random sample of size 37 has an average between 75 and 79. Round to four decimal places.

7) A normally distributed population has a mean of 73 and a standard deviation of 12. Determine the probability that a random sample of size 40 has an average less than 75. Round to four decimal places.

8) A normally distributed population has a mean of 71 and a standard deviation of 16. Determine the probability that a random sample of size 36 has an average between 70 and 78. Round to four decimal places.