Airlines compute the weight of outbound flights using either standard average we

Question

Airlines compute the weight of outbound flights using either standard average weights provided by the Federal Avaiation Adminsitration (FAA) or weights obtained from their own sample surveys. The FAA standard average weight for a passengers carry on items (personal items plue 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 susbtituing carry on bags for checked abgs. AS a result, the mean weight of a passenger's carry on items is expected to increase after the implemention 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 ounds. It selects a random sample of 82 passengers and weighs their carry on items. The sample mean is x=17.2 pounts, and the sample standard deviation is s=6.2 pounds. The airline uses a significance level of lpha = .05 to conduct its hypothesis test. Fill in the blanks. The hypothesis test is __________(an upper tail, a lower tail, a two tailed) test. The test statistic follows a ________(t, standard normal, binomial) distribution. The value of the test statistic is _________(.19, 1.25, 1.07, 1.75). According to the critical value approach the rejection rule is to reject H0 if _____________. The p-value is _______(1.7527, .0401, .0631, .0420). Using the critical value approach, the null hypothesis is ________(rejected, not rejected), because _____________. Using the p-value approach, the null hypothesis is ______(rejected, not rejected), because _______. Therefore, you _______(can,cannot) conclude that the mean weight of the airline's passengers' carry on items has increased after the implemention of the checked bag fee.

Explanation / Answer

The hypothesis test is ___an upper tail_______(an upper tail, a lower tail, a two tailed) test. The test statistic follows a ____t____(t, standard normal, binomial) distribution. The value of the test statistic is ___1.75______(.19, 1.25, 1.07, 1.75). According to the critical value approach the rejection rule is to reject H0 if ____test statistic value is greater than critical value_________. The p-value is __0.0420_____(1.7527, .0401, .0631, .0420). Using the critical value approach, the null hypothesis is ____rejected____(rejected, not rejected), because _____test statistic is greater than critical value________. Using the p-value approach, the null hypothesis is _rejected (rejected, not rejected), because P-values is less than 0.05_______. Therefore, you ____can___(can,cannot) conclude that the mean weight of the airline's passengers' carry on items has increased after the implemention of the checked bag fee.

Data Null Hypothesis                m= 16 Level of Significance 0.05 Sample Size 82 Sample Mean 17.2 Sample Standard Deviation 6.2 Intermediate Calculations Standard Error of the Mean 0.684675462 Degrees of Freedom 81 t Test Statistic 1.752655188 Upper-Tail Test Upper Critical Value 1.663883913 p-Value 0.041722556 Reject the null hypothesis

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