A study conducted at Penn State University asked the participants to estimate the number of calories in a burrito. Group 1 was asked to do this estimate after thinking about a calorie-heavy loaded balck-forest cake. Group 2 was asked to do this estimate after thinking about a light calorie Cesar salad. The mean number of calories estimated in a burrito was 840 for Group 1 and 1081 for Group 2. Sample size was 30 people in each group. The standard deviation of the number of calories in the burrito was 148 for Group 1 and 160 for Group 2.

The study wants to determine whether the mean estimated number of calories in the burrito is lower for people in Group 1 than the people in Group 2. This study found an evidence that the mean estimated number of calories in the burrito is lower for Group 1 than for Group 2.

Answer the following question.

1. In the context of this study, state explicitly what is the meaning of Type l and ll error.

2. Based on the results of this study, if you were developing a commercial for a burrito, what other foods you might show in the commercial?

3. For the following population, indicate what is the sampling distribution for samples of 34 customers' calories estimate for a burrito at Playa Cabana restaurant during the year 2021.