In a study of the effect of aluminum intake on the mental development of infants, a group of 54 infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months, the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0. The (BMDI) is similar to an IQ score, with 100 being the average in the general population. Assuming all relevant assumptions are met, carry out the appropriate test to determine if infants who received the aluminum depleted intravenous-feeding solution had a significantly different average BMDI score than in the general population. Be sure to include all the steps for full credit. (7pt)