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Name: We look at a random sample of 1000 United flights in the month of Dece
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Description: We look at a random sample of 1000 United flights in the month of December comparing the actual arrival time to the scheduled arrival time. Computer output of the descriptive statistics for the difference in actual and expected arrival time of these

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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We look at a random sample of 1000 United flights in the month of December comparing the actual arrival time to the scheduled arrival time. Computer output of the descriptive statistics for the difference in actual and expected arrival time of these 1000 flights are shown below.

N	Mean	StDev	SE Mean	Min	Q1	Median	Q3	Max
1000	9.79	41.9	1.32	-51	-11	0	19	437

(a) What is the sample mean difference in actual and expected arrival times? What is the standard deviation of the differences?

X = 9.79 (already answered this part correctly)

S = 41.9 (already answered this part correctly)

(b) Based on the computer output, is it safe to assume this sample is normally distributed? Yes (already answered this part correctly)

(c) Can we proceed using the t distribution to build a confidence interval for this mean? Yes (already answered this part correctly)

d) Regardless of your answer to part (c), use the summary statistics to compute a 95%confidence interval for the average difference in actual and scheduled arrival times on United flights in December.

Round your answers to two decimal places.

The 95%confidence interval is_______ to _______

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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