An automatic filling machine is used to fill Tide pods with liquid detergent. A random sample of 20 Tide pods results in a sample variance of fill volume of s²= (0.0153)² (fluid ounce). If the variance of the fill volume is too large, an unacceptable proportion of pods will be under- or overfilled. If we assume that the fill volume is approximately normally distributed, calculate a 95% confidence interval on the variance of the pod fill volume.

Please answer all 1. List the three corrections which should be applied to the hydrometer readings.  2. Why is it important to remove the hydrometer from the measuring cylinder between readings? 3. A hydrometer test has the following results; Gs = 2.70, temperature = 240C, and L = 92 mm at 60 minutes after the start of sedimentation. Calculate the diameter of the smallest-size particles that have settled beyond the zone of measurement at that time (use the table in the lab manual to find, A=0.0128). D(mm) = A sqrt( L(cm) / t(min) )

For a falling head permeability test, the following values are given: Length of specimen = 38.58 cm, Area of specimen = 19.83 cm^2, and k = 2.86 x 10^-3 cm/sec. What should be the area (in cm^2) of the standpipe for the head to drop from 60 cm to 32 cm in 8.63 minutes? Round off to three decimal places.