Final answer:
The proportion of data over 25 in a normal distribution with a mean of 22 and a standard deviation of 11.9 is found by calculating the z-score for 25 and then using this score to determine the area to the right on a standard normal distribution table or calculator.
Step-by-step explanation:
To calculate the proportion of data over 25 in a normal distribution with a mean of 22 and a standard deviation of 11.9, we need to find the z-score for the value of 25. The z-score is calculated by subtracting the mean from the data point and then dividing by the standard deviation. In this case:
Z = (25 - 22) / 11.9 ≈ 0.2521
Once the z-score is obtained, we can use a standard normal distribution table or a calculator to find the proportion of data above this z-score. This would give us the area to the right of z within the curve, which represents the proportion of the data over 25. In this scenario, we're not using a specific table or calculator and don't provide the exact proportion, but the process for doing so has been described.