Introduction average departure delay minutes for flights from

Introduction

My T-test going to look at the
average departure delay minutes for flights from Delta Airline’s. These
airports are John F. Kennedy Airport (JFK) and Hartsfield-Jackson Atlanta
Airport (ATL). According to a USA Today article I found, “Hartsfield-Jackson
Atlanta International Airport is forecast to take the 2016 title as the “World’s
Busiest Airport.” It would mark the 19th consecutive year Atlanta’s
airport counted more passengers than any other airport on the planet” (Mutzabuagh,
B., 19 Apr. 2017).

Population

The two populations for this T-test
project will be generated under the operations of Delta Airlines on their
average departure delay minutes between both JFK and ATL. This information was
made available to me via StatCrunch under the Delta Airlines database.

Variables

My two variables are first the
dependent variable which is Delta Airline’s departure delay minutes. Next is
the independent variable which is going to be flights from the origins of ATL
and JFK. Delay departure minutes can be based off of the plane taking off or
landing after the scheduled arrival time.

Collection
of Data

All data was retrieved from the
StatCrunch website. The data numbers can be seen in the last section of this
project.

Hypothesis
Statement / Statistical Test

            In this, I adopted two sample T-test
that deal with the departure delay minutes of my two separate airports. The
total average along with departure delay minutes of Delta’s flights from ATL
and JFK were compared. I will use StatCrunch to do a one tailed, dependent
T-test for my data. My null hypothesis shows no slight difference on departure
delay minutes of the two busiest airports departure time for ATL and JFK. This
will be written as, :    =

My
alternate hypothesis has a few differences between the two airports and will be
written as,

   

Descriptive
Statistics

            For average, which was the mean at
n=30, the departure flights from ATL was 13.57 minutes and a standard deviation
of 30.50. As you can see, the standard error was 5.568, variance was 930.25 and
so forth on the following table.

 

Summary statistics for DepDelMin:

Where:
Origin = “ATL”
Group by: Origin

Origin

n

Mean

Variance

Std. dev.

Std. err.

Median

Range

IQR

ATL

30

13.566667

930.25402

30.500066

5.5685247

2

151

16

 

In
the second table, this shows departure times for JFK, n=30. The following table
shows all the descriptive information.

Summary statistics for DepTime:
Where: Origin = “JFK”
Group by: Origin

Origin

n

Mean

Variance

Std.

dev.

Std.

err.

Median

Range

IQR

JFK

30

12.966667

1164.723

34.128038

6.2308988

0

124

2

 

Confidence
Interval / Hypothesis Test

            With using a 95% confidence interval
for my project, I selected 60 samples from the 2 different populations. Each
sample size as mentioned above was n=30. The upper and lower confidence
intervals was 17.331991, -16.131991 with a standard error of 8.35. Hypothesis
results were found using a test statistics difference of 0.6.

Two sample T confidence interval:
?1 : Mean of DepDelMin where Origin = “ATL”
?2 : Mean of DepTime where Origin = “JFK”
?1 – ?2 : Difference between two means
(without pooled variances)

95% confidence interval results:

Difference

Sample
Diff.

Std.

Err.

DF

L.

Limit

U.

Limit

?1 – ?2

0.6

8.3565882

57.28248

-16.131991

17.331991

 

 

StatCrunch

1          1260    43        DL       ATL    1234    4

2          743      64        DL       ATL    2032    0

3          667      78        DL       ATL    1212    7

4          898      140      DL       ATL    1000    17

5          1588    360      DL       ATL    1138    47

6          1443    396      DL       ATL    2219    4

7          1159    507      DL       ATL    2225    30

8          360      667      DL       ATL    1045    0

9          2178    734      DL       ATL    1428    0

10        1413    743      DL       ATL    1502    0

11        1250    841      DL       ATL    2039    4

12        1249    898      DL       ATL    1347    0

13        2041    1119    DL       ATL    2206    151

14        1286    1159    DL       ATL    1414    27

15        78        1249    DL       ATL    2054    0

16        507      1250    DL       ATL    2039    0

17        1472    1260    DL       ATL    2137    0

18        2046    1286    DL       ATL    2201    0

19        1433    1413    DL       ATL    1210    0

20        1663    1433    DL       ATL    2208    3

21        43        1443    DL       ATL    1109    4

22        2463    1472    DL       ATL    949      0

23        140      1588    DL       ATL    923      0

24        396      1663    DL       ATL    1731    0

25        1119    1958    DL       ATL    954      6                             

26        2075    2041    DL       ATL    1407    16

27        1958    2046    DL       ATL    2015    70

28        64        2075    DL       ATL    841      16

29        734      2178    DL       ATL    946      1

30        841      2463    DL       ATL    1856    0

2670    2857    2680    DL       JFK     5          1850

2671    2748    2687    DL       JFK     77        2102

2672    2702    2696    DL       JFK     0          649

2673    2798    2700    DL       JFK     0          1016

2674    2855    2701    DL       JFK     0          1635

2675    2838    2702    DL       JFK     0          1620

2676    2778    2703    DL       JFK     0          859

2677    2746    2724    DL       JFK     45        1720

2678    2815    2746    DL       JFK     0          1711

2679    2764    2748    DL       JFK     0          1735

2680    2851    2753    DL       JFK     0          815

2681    2860    2755    DL       JFK     0          1616

2682    2756    2756    DL       JFK     0          1430

2683    2816    2764    DL       JFK     2          1807

2684    2813    2778    DL       JFK     0          1528

2685    2755    2784    DL       JFK     0          1953

2686    2680    2798    DL       JFK     124      2159

2687    2687    2801    DL       JFK     9          1049

2688    2703    2813    DL       JFK     0          1759

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