To solve this problem, we need to analyze the properties of noble gases.$\\$Noble gases are known for their lack of reactivity due to their full valence electron shells.$\\$Let's evaluate each option:$\\$• Option 1: Noble gases are sparingly soluble in water.$\\$This is a correct statement. Noble gases have very low solubility in water due to their nonpolar nature.$\\$• Option 2: Noble gases have very high melting and boiling points.$\\$This statement is incorrect. Noble gases have low melting and boiling points because they are held together by weak dispersion forces (van der Waals forces).$\\$• Option 3: Noble gases have weak dispersion forces.$\\$This is a correct statement. The weak dispersion forces are due to the small size and nonpolar nature of noble gases.$\\$• Option 4: Noble gases have large positive values of electron gain enthalpy.$\\$This is a correct statement. Noble gases have high positive electron gain enthalpy because they do not readily accept electrons, as they already have a stable electron configuration.$\\$Therefore, the incorrect statement is Option 2. Noble gases do not have very high melting and boiling points.$\\$The correct answer is Option 2.