Question

When Annabelle runs the 400 meter dash, her finishing times are normally

distributed with a mean of 62 seconds and a standard deviation of o.5 seconds. Using
the empirical rule, determine the interval of times that represents the middle 68% of
her finishing times in the 400 meter race.

Answer 1

[61.5, 62.5]

Explanation:

The Empirical Rule states that 68% of data observed following a normal distribution lies within 1 standard deviation of the mean.

Thus, you can see that one standard deviation away on both sides land on 61.5 and 62.5

That interval represents 68% of her finishing times in the 400m race.