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. Delta Southwest Delta Southwest Delta Southwest Delta Southwest Delta 116 42 6 77 146 113 148 25 126 68 114 7 91 112 67 49 92 31 149 128 78 111 12 134 139 139 11 124 91 18 34 51 17 5 106 65 62 126 26 116 17 109 141 70 12 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 -value and what is your conclusion? df = (rounded down to nearest whole number) p-value = (rounded to 4 decimals)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Delta			Southwest	Southwest	Delta
116	42	6	77	146	113	148	25	126
68	114	7	91	112	67	49	92	31
149	128	78	111	12	134	139	139	11
124	91	18	34	51	17	5	106	65
62	126	26	116	17	109	141	70	12

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 -value and what is your conclusion?

df =	(rounded down to nearest whole number)
p-value =	(rounded to 4 decimals)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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