Answered: Part d please Comparing Length of…

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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Part d please

Comparing Length of Flight Delays

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.

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.

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

Delta sample mean: 50.6 minutes

Southwest sample mean: 52.8 minutes

c. Using a .05 level of significance, what is the p-value and what is your conclusion?

The p value is 0.7535

P value > alpha

We fail to reject the null hypothesis

d. Estimate a 95% interval estimation for the difference between the population mean minutes late

e. What is the result of the following tests? Explain how you perform the tests.
H0 : ∆ = µ1 − µ2 = 0 vs. ∆ doesn't equal µ1 − µ2 = 0min
H0 : ∆ = µ1 − µ2 = −16 vs. ∆ doesn't equal µ1 − µ2 = −16min
H0 : ∆ = µ1 − µ2 = 10 vs. ∆ doesn't equal µ1 − µ2 = 10min

Delta	Southwest
34	45
59	64
43	42
30	33
3	66
32	105
42	45
85	28
30	38
48	85
110	75
50	45
10	33
26	50
70	63
52	42
83	35
78	33
27	64
70	65
27
90
38
52
76

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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