Let's assume our class represents a normal population with aknown mean of 90 and population standard deviation 2. There are 100students in the class.
a. Construct the 95% confidence interval for the populationmean.
b. Interpret what this means.
c. A few students have come in. Now we cannot assume normalityand we don't know the population standard deviation. Let the samplemean = 90 and sample standard deviation = 3. Let's make the samplesize 20. We can assume alpha to be .05. Construct the 95%confidence interval assuming this new information.