Answer :
Final answer:
Without the mean and standard deviation for the weights of the football players, the minimum weight of the middle 95% cannot be determined. To compare the California quarterback to the Texas football player, specific statistical data for the California team is required.
Explanation:
The middle 95% of the player weights can be calculated using the standard normal distribution. Since the question does not provide the necessary statistical data such as the mean and the standard deviation for the weights of the players, we cannot calculate the exact weight. It is typical to assume a normal distribution and use z-scores to find the middle 95%, but without the mean and standard deviation, we cannot proceed. We can determine z-scores for certain percentages, but we would need the context in which the percentages and player weights are given to provide an answer. Meanwhile, to determine how many standard deviations away from the mean the famous quarterback was based on his weight, we would use the formula (individual's weight - population mean) / population standard deviation. With the data provided for the Texas football team, we can calculate the z-score:
Z = (209 - 240.08) / 44.38 = -0.70 approximately
This means the Texas player is 0.7 standard deviations below the mean of his team. To compare with the California quarterback, we would need the mean and standard deviation for the California team. Without that information, we cannot conclude who is lighter in relation to their respective team averages.
