Past data indicate that the variance of measurements made on sheet metal stampings by experienced quality-control inspectors is 0.18 (inch) \({ }^{2}\). Such measurements made by an inexperienced inspector could have too large a variance (perhaps because of inability to read instruments properly) or too small a variance (perhaps because unusually high or low measurements are discarded). If a new inspector measures 101 stampings with a variance of 0.13 (inch) \({ }^{2}\), test at the 0.05 level of significance whether the inspector is making satisfactory measurements. Assume normality.