Question

Commuting times for employees of a local company have a mean of 63 minutes and a standard deviation of 3 minutes. What does Chebyshev's Theorem say about the percentage of employees with commuting times between 54 minutes and 72minutes?

Group of answer choices:

a) At least 75% of the commuting times should fall between 56.1 minutes and 71.1 minutes.


b) At least 89% of the commuting times should fall between 56.1 minutes and 71.1 minutes.

c) Approximately 89% of the commuting times should fall between 56.1 minutes and 71.1 minutes.


d) At most 75% of the commuting times should fall between 56.1 minutes and 71.1 minutes.

Answer 1

From the given information,

As 54 minutes and 72 minutes are 3 standard deviations from the mean,

Hence by using Chebyshev's Theorem,

The required correct answer is,

At least 89% of the commuting times should fall between 54 minutes and 72 minutes.

(Note:- Provided answer choices and question doesn't matching here)

Also, At least 75% of the commuting times should fall between 57 minutes and 69 minutes.

So please choose answer accordingly.

Thank you.