The table below shows the 52 week high for eleven stocks that were selected at random. Assume that the 52 week maxima are normally distributed.
Avon Nordstrom ISIS Pharm J&J Kellogg Coca Cola FedEx Microsoft Apple BBY Disney
10.65 83.16 62.54 109.49 72.34 53.79 168.33 54.98 134.54 42.00 122.08
a. Determine the mean and variance of the 52 week highs.
b. Calculate the margin of error if you were asked to determine a 99% confidence interval for the average 52 week high.
c. What is the 99% confidence interval for the 52 week high?
d. Interpret what this confidence interval means.
e. Why did you use the table that you used?