Researchers investigated how the size of a bowl affects how much ice cream people tend to scoop when serving themselves. At an "ice cream social", people were randomly given either a 17 fluid oz (503 mL) or a 34 fluid oz (1006 mL) bowl. They were then invited to scoop as much ice cream as they liked. Here are the summary statistics: Small Bowl Large Bowl Sample Size 36 32 Sample Mean 5.07 Oz 6.58 oz Sample Standard Deviation 1.84 oz 2.91 oz a Construct and interpret a 95% confidence interval for the true difference in mean portion size of ice cream. (5 points) b) What conditions must be satisfied for the inference in part (a) to be valid? (2 points)