(10 points) The confidence intervals discussed in class gave both lower and upper confidence bounds for the parameter being estimated. In some circumstances, an investigator will want only one of these two types of bounds. For example, a psychologist may wish to calculate a 95% upper confidence bound for the average reaction time to a particular stimulus. Assume that the population of interest is normally distributed with an unknown mean of a and an unknown standard deviation of o. A sample of size n is taken from which the sample mean a and the sample standard deviation s are calculated. Derive a formula for a 100(1-a)% upper confidence bound for . Hint: Consider the standard normal curve and concentrate all of o in either the upper or lower tail (whichever is appropriate)