Suppose you are a wine maker and you are interested in the amount of rainfall on a plot of landduring the months of September and October (harvest season in the
northern hemisphere).Let X denote rainfall in those months measured in inches. Suppose that ln(X) (the naturallog) is normally distributed with mean, and variance, 2:
The observed rainfall over a ten year period was 2.27, 2.51, 2.75, 2.30, 1.89, 2.32, 1.02, 2.50, 2.00, 1.78 (a) Estimate average and variance (b) Construct a 95%
nonrejection (condence) interval for average (c) Using your nonrejection region, can you reject the hypothesis that = log(2)?