1. Two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 63 and 93, which correspond to z scores (often called the standard- ized scores) of -1 and 1.5, respectively. Find the mean and standard deviation of the distribution of raw exam scores.
2. THE TRASH BAG CASE DS TrashBag
Suppose that a population of measurements is normally distributed with mean m and standard deviation s.
a. Write an expression (involving m and s) for a tolerance interval containing 98 percent of all the population measurements.
b. Estimate a tolerance interval containing 98 percent of all the trash bag breaking strengths by using the fact that a random sample of 40 breaking strengths has a mean of x = 50.575 and a standard deviation of s = 1.6438.