(Two-sided hypothesis testing) You have just started a new job at the economic research department of Target, the "big-box" retail company. Your boss is in charge of finding promising locations in the U.S. for new Target stores and of choosing the size (in square feet) of these stores. Because Wal-Mart is a main competitor of Target, your boss is very interested in knowing the population mean value of the size of Wal-Mart stores in the U.S. She has the (null) hypothesis that the overall population of Wal-Mart stores has a mean size of 174,000 square feet. Let the random variable X denote "the size of a Wal-Mart store in the U.S."

Wal-Mart currently has more than 3,000 stores in the U.S. Therefore, in order to test your boss' null hypothesis against a two-sided alternative hypothesis, you randomly sample n = 100 Wal-Mart stores around the U.S., and record the size of each store as X₁, X₂, ..., X₁₀₀. Given these randomly sampled data, you calculate the following two quantities in Excel:

E 100 1=1 = 16,350,000\f