2. [10 pts) You run the cafeteria for a large elementary school and are concerned about the vegetable consumption of your students. You fear that on average they are eating less than 5 vegetables a day. You sample 50 students and nd an average of 4.3 vegetables a day, with a standard deviation of .56 vegetables. Run the test. If you reject the null, estimate the true number of vegetables being eaten daily by kids at your school. Please run the test to answer the question, and draw out the sampling distribution model and label as much as you can - looking for the t, t-critical (t*), etc. (HINT: We ran a 2-tailed test in class, this is a 1-tailed test where the alternative hypothesis is "less than". Also, there is a t table in the notes from the "Frequentist Statistics" lecture.)