Question: For your study on food consumption by teenage males and females, you randomly select 40 teenage males and 50 teenage females and ask how many 12-oz. servings of soda they consume per day. You find that the mean for males is \(\overline{x_{1}}=1.74\) servings and the mean for females is \(\overline{x_{2}}=1.56\) servings. Assume the population standard deviation for males is \(\sigma=0.428\) servings and the population standard deviation for females is \(\sigma=0.301\) servings. At the \(\alpha=0.05\) level of significance, what can you conclude about a claim that the mean number of "12-oz soda servings" consumed by teenage males and females per day is the same?

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