1.A sample of size 35 is selected from a population with mean 84.61 and standard deviation 8.36. For this situation what is the standard error of the mean? Round your answer to 2 places of decimal.

2.A sample of size 35 is selected from a population with mean 84.61 and standard deviation 8.36. What is the probability that the mean of the sample will be less than 82.2? Round your answer to 3 places of decimal.

3.A sample of size 35 is selected from a population with mean 84.61 cm and standard deviation 8.36 cm. What is the probability that the mean of the sample will be within 1.50 cm of the population mean? Round your answer to 2 places of decimal.

4.The mean of a random sample of sizen= 40 is going to be used to estimate the mean of an infinitely large population. Given that the population standard deviation is thought to be 14.55, what is the probability that the sample mean is larger than (mu - 2)? Note that mu is the mean of the population. Round your answer to 2 places of decimal.

5.The mean of a random sample of sizen= 35 is going to be used to estimate the mean of a finite population ofN= 400. Given that the population standard deviation is thought to be 9.355, what is the standard error of the mean? Round your answer to 2 places of decimal.