Question

4. Hypothesis tests about a population mean, pop ulation 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 carry-on items (personal items plus carry-on 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 carry-on bags for checked bags. As a result the mean weight of a passenger's carry-on items is expected to increase after the implementation of the checked-bag fee. Suppose that a particular airline's passengers had a mean weight for their carry-on 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 82 passengers and weighs their carry-on items. The sample mean is = 17.2 pounds, and the sample standard deviation is s-6.2 pounds. The airline uses a significance level of α-.05 to conduct its hypothesis test. The hypothesis test is test. The test statistic follows a distribution. The value of the test statistic is Distribution Distributions Use the Distributions tool to develop the critical value rejection rule. According to the critical value approach, the rejection rule is O Reject Ho ift s-1.99D or t O Rejact Ho ift s -1.664 O Rejedt H if z z 1.645 O Reject Ho if t 2 1.664 1.990 The p-value is

Answer 1

1nif NO > 2