Suppose we are interested in the mean scores on an exam. A random sample of 67 scores is taken and gives a sample mean (sample mean score) of 70. In this example we have the unusual knowledge that the population standard deviation is 6 points.

a.Estimate a 95% confidence interval for the population mean exam score.

b.What happens to the confidence interval if we increase the sample size and use n = 100

instead of n = 50?

c.Interpret your findings in a and b