Question

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 36 30 34 38 119 120 63 37 35 67 114 53 102 55 8 87 68 100 43 50 86 74 17 66 87 35 40 34 64 41 53 30 86 33 57 61 7 46 52 26 70 62 75 54 80 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. $mu_1$ = population mean minutes late for delayed Delta flights $mu_2$ = population mean minutes late for delayed Southwest flights $H_0: mu_1 - mu_2$ = 0 $H_a: mu_1 - mu_2$ $ eq$ 0 b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? Sample mean for Delta = (rounded to 2 decimals) Sample mean for Southwest = (rounded to 2 decimals) c. Using a 0.05 level of significance, what is the $p$-value and what is your conclusion? df = (rounded down to nearest whole number) p-value = (rounded to 4 decimals) We cannot reject $H_0$.

          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
36
30
34
38
119
120
63
37
35
67
114
53
102
55
8
87
68
100
43
50
86
74
17
66
87
35
40
34
64
41
53
30
86
33
57
61
7
46
52
26
70
62
75
54
80
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.
$mu_1$ = population mean minutes late for delayed Delta flights
$mu_2$ = population mean minutes late for delayed Southwest flights
$H_0: mu_1 - mu_2$ = 0
$H_a: mu_1 - mu_2$ $
eq$ 0
b. What is the sample mean number of minutes late for delayed flights for each of these two airlines?
Sample mean for Delta =  (rounded to 2 decimals)
Sample mean for Southwest =  (rounded to 2 decimals)
c. Using a 0.05 level of significance, what is the $p$-value and what is your conclusion?
df =  (rounded down to nearest whole number)
p-value =  (rounded to 4 decimals)
We cannot reject $H_0$.

Added by Nicole P.

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