Please answer the following questions:

Problem 1. (6 points total) For each of the following scenarios, please list the critical value(s) you would use to determine whether you would accept or reject your null hypothesis. If you cannot determine the critical value(s) because the scenario does not correspond to anything we've covered in class so far, please state \"Cannot be determined\". Please show your work where appropriate and explain how you arrived at your answer. 1. You would like to examine differences in weight measured in pounds between males (assume your Group 1) and females (assume your Group 2). You have 50 males and 45 females. The level of signicance you plan to use is 0.10. Your research hypothesis is that the mean weight among females will be less than the mean weight among males. You would like to examine racial differences in COVID-19 vaccination status using a survey that asks participants to answer \"yes\" if they have been vaccinated and \"no\" if they haven't been vaccinated. You have 40 participants, with 10 participants from each racial group. The level of significance you plan to use is 0.05. Your research hypothesis is that there is a difference in vaccination rates across the racial groups. You would like to examine the relationship between the number of customers dining in a restaurant on a Friday night and the average price of a dinner entree. Your sample includes 30 restaurants in Orange County. The level of signicance you plan to use is 0.05. Your research hypothesis is that the higher the average price, the fewer the number of customers