Discuss the following:
Q1. Suppose that x is normally distributed random variable with µ = 11 and variance = 4. Find each of the following:
a)P(10
b)P(x > 13.24)
c)P(x < x0) 0.75 find Xo
Q2. Consider the following hypothesis test.
Ho: µ >; 10
Ha: µ < 10
A sample with n = 50 provides a sample mean of 9.46 and sample standard deviation of 2. At alpha = 0.05, what is the critical value for z or t? What is the rejection rule?