A sample of 100 men yielded an average PSA level of 3.0 with a of 1.1. What are the complete set of values that a 5% two sided Z test of HO:=0 would fail to reject the null hypothesis for? Identify the lower and upper values? Suppose a friend has 8 children, 7 of which are girls and none are twins. If each gender has an independent 50% probability for each birth, what's the probability of getting 7 or more girls out of 8 births