Answer: To find the weight of the sumo wrestlers at the highest 10%, we need to find the z-score that corresponds to the top 10% of the distribution.
Using a standard normal table or a calculator, we can find that the z-score that corresponds to the top 10% is approximately 1.28.
Next, we can use the formula for a z-score to find the weight that corresponds to this z-score:
z = (x - mu) / sigma
where z is the z-score, x is the weight we want to find, mu is the mean weight, and sigma is the standard deviation.
Substituting in the values we know, we get:
1.28 = (x - 330) / 15
Solving for x, we get:
x = 1.28(15) + 330 = 349.2
Rounding to the nearest whole number, the minimum weight of the sumo wrestlers at the highest weight of the league is 349 lbs.
Explanation: