1. Asample of size 75 will be drawn from a population with mean 10 and standard deviation 12. a. Find the probability that mean will be between 8 and 14. b. Find the 15th percentile of mean. 2. A...

1. Asample of size 75 will be drawn  from a population with mean 10 and standard deviation 12.

a. Find the probability that mean will be between 8 and 14.

b. Find the 15th percentile of mean.

2. A sample of size 20 will be drawn from a population with mean 6 and standard deviation 3.

a. Is it appropriate to use the normal distribution to find probabilities for mean?

b. If Appropriate find the probability that mean will be greater than 4.

c. If appropriate find the 30th percentile of mean.