Final answer:
To find the proportion of babies weighing more than 14 pounds, calculate the z-score corresponding to 14 pounds and find the area under the normal distribution curve to the right of that z-score. The proportion is approximately 0.3273.
Step-by-step explanation:
To find the proportion of babies weighing more than 14 pounds, we need to calculate the z-score corresponding to the weight of 14 pounds and find the area under the normal distribution curve to the right of that z-score.
Using the formula for z-score:
z = (x - μ) / σ
where x is the value (weight), μ is the mean weight, and σ is the standard deviation, we substitute the given values:
z = (14 - 12.3) / 3.8 = 0.4474
Using the TI-83 Plus/TI-84 Plus calculator or a standard normal distribution table, we find that the proportion of babies weighing more than 14 pounds is approximately 0.3273.