Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 18 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?
A. 13.25 minutes to 22.75 minutes
B. 8 minutes to 28 minutes

Respuesta :

Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:

B. 8 minutes to 28 minutes.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:

  • 18 - 2 x 5 = 8 minutes.
  • 18 + 2 x 5 = 28 minutes.

Hence option B is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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