To find the mean and standard deviation of the distribution of corrected measurements, where the mass of the measuring cup (20 g) is subtracted from each measurement, you can use the following formulas:
1. For the mean (μ) of the corrected measurements:
Mean (μ) of corrected measurements = Mean (μ) of original measurements - Mass of measuring cup
Mean (μ) of corrected measurements = 215 g - 20 g = 195 g
So, the mean of the corrected measurements is 195 g.
2. For the standard deviation (σ) of the corrected measurements:
Standard Deviation (σ) of corrected measurements remains the same as the standard deviation of the original measurements.
Standard Deviation (σ) of corrected measurements = 60 g
So, the standard deviation of the corrected measurements is 60 g.