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Researchers at Purdew University and Wichita State University found that airlines are doing a better job...

Researchers at Purdew University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time. AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the table below. Data are shown for both airlines.

AirTran Southwest AirTran Southwest AirTran Southwest AirTran Southwest AirTran
20 46 93 91 47 27 83 85 34
4 89 61 101 16 77 114 28 16
82 69 6 110 10 37 64 104 8
54 38 31 87 66 78 85 102 61
80 108 91 106 107 56 66 39 33

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.

μ1 = population mean minutes late for delayed AirTran flights

μ2 = population mean minutes late for delayed Southwest flights

H0 : μ1 - μ2 _________ 0

Ha : μ1 - μ2 _________ 0

b. What is the sample mean number of minutes late for delayed flights for each of these two airlines?

Airtran (to two decimals):

Southwest (to two decimals):

c. Using a .05 level of significance, what is the p-value and what is your conclusion? (Enter negative value as negative number)

t-value (to three decimals):

degrees of freedom (round degrees of freedom to previous whole number):

the p-value is _____ (lower than .01, between .01 and .02, between .02 and .05, between .05 and .10, between .10 and .20, between .20 and .40, greater than .40)

Math   Statistics-And-Probability   
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