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2. 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 Statistics 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? That is, is there evidence at 0.01 significance level that other boys average less than 2 hours of television per day? Conduct a hypothesis test, making sure to state your conclusions in the context of the problem. (a) State the null and alternate hypothesis. to) petremes which astebution devel of (b) How many degrees of freedom are there? (c) Give the decision rule. (d) Compute the value of t. What is your decision regarding the null hypothesis?3. The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 3.00 minutes. To make sure that the mean wait is not exceeding the requirement, an assistant manager tracks the wait times of 45 randomly selected calls. The mean wait time was calculated to be 3.40 minutes. Assuming the population standard deviation is 1.45 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 3.00 minutes with a 95% level of confidence? (a) State the null and alternate hypothesis. (b) Determine which distribution to use for the test statistic, and state the level of significance. (c) Calculate the necessary sample test statistics. (d) Draw a conclusion and interpret the decision.4. The National safety council reported that 52% of American turnpike drivers are men. A sample of 300 cars traveling southbound on the New Jersey Turnpike yesterday revealed that 170 were driven by men. At a 99% level of confidence, can we conclude that a larger proportion of men were driving on the New Jersey Turnpike than the national statistics indicate? (a) State the null and alternate hypothesis. (b) Determine which distribution to use for the test statistic, and state the level of significance. (c) Calculate the necessary sample test statistics (d) Draw a conclusion and interpret the decision