Final answer:
This high school level Mathematics question involves the calculation of z-scores for given weight measurements, as well as unit conversions for weights and measures in various scenarios.
Step-by-step explanation:
The subject of this question is Mathematics, specifically involving problems related to height and weight measurements and their conversions, as well as the use of z-scores in statistics. Given the scope, these problems are suitable for a High School level.
Example of z-score calculation: To calculate the z-score for a weight of 11 kg where the mean μ is 10.2 kg and the standard deviation σ is 0.8 kg, the formula is z = (X - μ) / σ. Plugging in the values gives z = (11 - 10.2) / 0.8 = 1. This means that a weight of 11 kg is 1 standard deviation above the mean.
For conversions such as those in the questions about the chemistry student's height and weight, and the lumber dimensions, we would use unit conversion factors (e.g., 1 inch = 2.54 cm, 1 lb = 454 g) to find the measurements in the desired units.