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Suppose That the Average Time an Employee Takes to Reach

question 60

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Suppose that the average time an employee takes to reach the office is 35 minutes. To address the issue of late comers, the mode of transport chosen by the employee is tracked: private transport (two-wheelers and four-wheelers) and public transport. The data on the average time (in minutes) taken using both a private transportation system and a public transportation system for a sample of employees are given below.  Private Transport  Public Transport 2730332928253220202734323037283818212935\begin{array} { c | c } \text { Private Transport } & \text { Public Transport } \\\hline 27 & 30 \\33 & 29 \\28 & 25 \\32 & 20 \\20 & 27 \\34 & 32 \\30 & 37 \\28 & 38 \\18 & 21 \\29 & 35\end{array}
a. What are the mean and median travel times for employees using a private transport? What are the mean and median travel times for employees using a public transport?
b. What are the variance and standard deviation of travel times for employees using a private transport? What are the variance and standard deviation of travel times for employees using a public transport?
c. Comment on the results.


Definitions:

Anxiety

A feeling of worry, nervousness, or unease, typically about an imminent event or something with an uncertain outcome.

Id

In psychoanalytic theory, the part of the mind in which innate instinctive impulses and primary processes are manifest.

Physical Gratification

The satisfaction or pleasure obtained from bodily sensations, often associated with fulfilling basic needs or desires.

Superego

In Freudian psychoanalytic theory, the part of the personality responsible for moral standards and ideals, arising from the internalization of societal and parental values.

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