Answer:
The interval that contains the middle 68% of the heights is between 59 and 67 inches.
Step-by-step explanation:
The Empirical Rule 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.
In this problem, we have that:
Mean of 63, standard deviation of 4.
The interval that contains the middle 68% of the heights.
By the Empirical rule, within 1 standard deviation of the mean. So
63 - 4 = 59
63 + 4 = 67
The interval that contains the middle 68% of the heights is between 59 and 67 inches.
