Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results: 163, 205, 162, 184, 164, 194. It is reasonable to assume that the population is approximately normal. Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 193.666667? (Hint: you should first calculate the 98% confidence interval for the mean magnesium ion concentration.)