Answer Happy

BusinessAirways
The airline company Business Airways provides on- demand
flights, for a clientele of large companies. The company has
selected a random sample of 40 flights from the population of all
the flights it provided last year. The length of these flight (in
kilometers) are given in the table:
(These data have been sorted from the smallest to the largest
value, for convenience)
522
746
893
1110
530
757
902
1134
554
790
956
1150
575
804
974
1201
604
814
978
1209
629
823
1020
1458
639
854
1047
1585
704
859
1076
1653
730
869
1087
1831
745
887
1095
1962
Construct an appropriate graphical representation of the
distribution of flight length in the sample. You will use Sturge’s
rule in order to determine your class width. Clearly show your
calculation.
Calculate the median length of the flights in the sample. Use
the method of the course and show the details of your calculation.
What is the exact meaning of this median here?
Calculate for the flights of this sample the mean length of
flights , as well as the standard deviation of the length of the
flights of the sample. Calculate also the Bessel-corrected
“sample standard deviation”. = ·
The company flies approximately 4,000 flights a year. Using the
sample above, give the following estimates:
Point estimation of the mean flight length, for all flights of
the company
Point estimation of the standard deviation of the flight length,
for all flights of the company.
95% confidence interval, for the mean flight length, for all
flights of the company
"Short" flights of less than 600 miles (about 950 km) are
subject to special treatment by the company. What is the number of
"short" flights in the sample? Express this number as a percentage
of the number of flights in the sample. Now give a 95% confidence
interval for the proportion of "short" flights in all flights of
the company.