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The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The file LateFlights contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Delta and Southwest. Click on the datafile logo to reference the data. DATA file Delta Southwest Delta Southwest Delta Southwest Delta Southwest Delta 34 45 32 105 110 75 52 42 27 59 64 42 45 50 45 83 35 90 43 42 85 28 10 33 78 33 38 30 33 30 38 26 50 27 64 52 3 66 48 85 70 63 70 65 76 a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. H1 = population mean minutes late for delayed Delta flights 4 H2 = population mean minutes late for delayed Southwest flights Ho : H1 - H2 = Jo Ha : H1 - 12 * Jo b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? Sample mean for Delta = 50.6 (rounded to 2 decimals) Sample mean for Southwest = 52.8 (rounded to 2 decimals) c. Using a 0.05 level of significance, what is the p-value and what is your conclusion? df = 42 (rounded down to nearest whole number) p-value = (rounded to 4 decimals) We c |reject Ho