The Young's modulus was measured for 20 random specimens of piping in a manufacturing plant, with the quality standard that product measures must remain consistent to within 0.004 (kPa)²meaning the variance should be limited to 0.004. The sample average and variance obtained were =0.032 ((kPa)²), and s²=0.006 ((Pa)²), respectively. Is there evidence in the data to indicate that the quality standards have been violated? Use the confidence interval approach with =0.01. State any necessary assumptions about the underlying distribution of the data.