Suppose x = 6.5, x2 = 9.4. X3 = 9.8. x4 = 12.4 constitute a random sample of size 4 from a normal distribution with = 0.8, but the mean is unknown. Let X represent the mean of the sample. i) What is x the observed value of X? x= ii) What is x? iii) Describe the shape of the sampling distribution of X (enter a, b, or c) a. exactly normal b. not normal ? ic. approximately normal iv) Find a 100(1-a)% = 95% confidence interval for the population mean u in light of the 4 data points. LCB= UCB= (enter your numerical values with 4 decimals)