A cement manufacturer is evaluating the purchase of new automatic machinery whose vendor claims that the population average for bag filling is 48 pounds/bag, which is ideal for the factory, with a population standard deviation of 5 pounds/bag. coat. A sampling of 27 bag filling cycles was carried out and an average of 52 pounds/bag was obtained. At the 0.06 level of significance, answer: Does the factory have statistical reason to believe that the filling of the bags by this machinery is significantly different from the 48 lbs/bag?