A father is concerned that his teenage son is watching too much television each day since his son watches an average of 2 hours per day. His son says that his TV habits are no different than those of his friends. Since this father has taken a stats class, he knows that he can actually test to see whether or not his son is watching more TV than his peers. The father collects a random sample of television watching times from boys at his son's high school and gets the following data: |1.9|2.3|2.2|1.9|1.6|2.6|1.4|2.0|2. 0| 2.2 Is the father right? Perform a hypothesis test (by hand) to check the father's claim that other boys average less than 2 hours of television per day. Include the following:

a. State the null and alternative hypotheses in symbols and words Assume conditions are met.
b. Perform your hypothesis test calculations "by hand" using the equation editor. Be sure to include the correct probability notation.
c. Find the corresponding confidence interval "by hand" using the equation editor.
d. State your conclusion, making sure to site whether we reject or fail to reject and what that means in context. Include the results from your confidence interval. Be sure to tell whether our hypothesized value falls in the interval, and what that tells us.