A Problem 1. (1 point) In Lab Exercise 1, the franchiser was interested in determining how many vehicles, on average, pass by the proposed location of a restaurant on a hourly basis. Suppose the standard deviation of the number of vehicles passing by the proposed site of the restaurant is = 19. In order for the location to be financially viable, the mean number of vehicles passing by the proposed location per hour has to be at least 140. The statistical hypotheses is Ho : | = 140 : < 140 (a) Statistical testing is to be carried out at a = 0.04. The number of vehicles passing by this location is to be observed in each of n = 36 randomly chosen one-hours, and X then computed from these data. What values of the sample mean will result in a rejection of Ho? Find X Critical- X Critical = (use at least one decimal in your answer but dont use rounded values when continuing the question) (b) If a Type I error were made, what would happen?. Correctly complete the statement below. A Type I error would would occur if one concluded that the mean number of vehicles pass by the proposed restaurant location is vehicles passing by this location per hour is when in fact the mean number of (c) The sample of n = 36 one-hours was taken. The mean number of vehicles passing by the proposed location of the restaurant was found to be X = 142.69. From these data what should the franchiser do? the restaurant, because the null hypothesis ? (d) From the information provided in part (c), compute the P-value. P-value= (use at least four decimals in your answer) (e) Reflect on your knowledge of the data summarized in parts (c) and (d). What type of error could you have made? A. Correct decision OB. Type II error C. Type I error (f) Suppose the mean number of vehicles passing by this location per hour is 135, = 135. Find the probability of making a Type II error. Probability = (use at least four decimals in your answer) (g) What would happen to the probability you found in part (f) if the sample size n = 36 were increased? A. The probability computed in part (f) would increase. B. The probability computed in part (f) would decrease. C. The probability computed in part (f) would not change.