The resolution of the instrument referred to in problem 4.3 is clearly 0.01. Because of the way in which error tables are presented, estimation of the number of measurements in a particular error band...

The resolution of the instrument referred to in problem 4.3 is clearly 0.01. Because

of the way in which error tables are presented, estimation of the number of measurements in a particular error band is likely to be closer to the real number if the boundaries of the error band are chosen to be between measurement values. In part (c) of

problem 4.14, values greater than 3.98 are subtracted from values greater than 4.02,

thus excluding measurements equal to 3.98. Test this hypothesis by estimating:

(a) How many measurements are less than 3.995

(b) How many measurements are less than 3.955

(c) How many measurements are between 3.975 and 4.025

Check your answers against the real data.