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#1:Consider a population with the population mean =50 and the population standard deviation \sigma =35. Given a sample size of 25, what is the probability that the sample mean x is greater than 65?(ie, what is P(x>65)). Round your z-score to two decimal places before looking up on the table.

#2 Given a sample mean x=2, a population standard deviation \sigma =3, and a sample size n =100, what is the *lower* bound of a 95% confidence interval for the population mean? (Give an exact answer.)

#3: Given a sample mean x=2, a population standard deviation \sigma =3, and a sample size n =100, what is the *upper* bound of a 95% confidence interval for the population mean? (Give an exact answer.)

#4 A sample of n =9 houses found that the average number of TV watch per day was four hours. Given a sample standard deviation of 2, what is the lower bound of the t-statistic for the 95% confidence interval on the average number of hours watched? Round your final answer to two decimal places.