Answer:
(a) To find the percentage of English men under 67.9 inches tall, we first need to find the z-score. The z-score is calculated by subtracting the mean from the value and dividing by the standard deviation. So, z = (67.9 - 65) / 2.9 = 1. The percentage of people under a z-score of 1 is approximately 84.13%.
(b) To find the percentage of English men over 73.7 inches tall, we again find the z-score. So, z = (73.7 - 65) / 2.9 = 3. The percentage of people over a z-score of 3 is approximately 0.13%.
(c) To find the percentage of English men between 59.2 and 70.8 inches tall, we find the z-scores for both values. So, z1 = (59.2 - 65) / 2.9 = -2 and z2 = (70.8 - 65) / 2.9 = 2. The percentage of people between a z-score of -2 and 2 is approximately 95.44%.
Therefore, approximately 84.13% of English men are under 67.9 inches tall, approximately 0.13% are over 73.7 inches tall, and approximately 95.44% are between 59.2 and 70.8 inches tall.
Explanation: