3. Hypothesis tests about a population mean, population standard deviation unknown Airlines compute the weight of outbound flights using either standard average weights provided by the Federal Aviation Administration (FAA) or weights obtained from their own sample surveys. The FAA standard average weight for a passenger's carryon items (personal items plus carryon bags) is 16 pounds. Many airline companies have begun implementing fees for checked bags. Economic theory predicts that passengers will respond to the increase in the price of a checked bag by substituting carryon bags for checked bags. As a resultr the mean weight of a passenger's carryon items is expected to increase after the implementation of the checkedbag fee. Suppose that a particular airline's passengers had a mean weight for their carryon items of 16 pounds, the FAA standard average weight, before implementation of the checked-bag fee. The airline conducts a hypothesis test to determine whether the current mean weight of its passengers' carry- on items is more than 16 pounds. It selects a random sample of I53 passengers and weighs their carry-on items. The sample mean is )2 = 1?.4 pounds. and the sample standard deviation is s = 5.? pounds. The airline uses a signicance level ofo = 0.01 to conduct its hypothesis test. The hypothesis test is V test. The test statistic follows a V distribution. The value of the test statistic is V