1. In the advent of the Russia-Ukraine War, a driver surveyed 24 gasoline stations in Metro Manila, it was found that the average price of diesel per liter is 58.05 pesos with a standard deviation of 0.75 liters. Assuming that the sample comes from a population that is approximately normal, construct an interval estimate for the average price of diesel per liter in Metro Manila at a = 0.1. Round off each limit in two (2) decimal places. Do not include the units in your answer. 2. A newly-hired school registrar in a Science High School would like to determine the overall performance of students in their Social Studies class. Records reveal that the population mean grade is 90 with a standard deviation of 15. Assuming that grades are normally distributed, he randomly selected 18 students and asked them about their Social Studies grades. What is the probability that the Social Studies grades of the students in the sample is between 85 and 92? Express your answer in decimal form, rounded-off into four decimal places. 3. A quality assurance officer ensures that their soft drink product adheres to the stated quantity of 350 ml. The records show that the mean soft drink content is 351.2 ml with standard deviation of 5.9 ml. A random sample of 40 bottles were randomly chosen. What is the probability that the sample mean is less than the required amount? Express your answer in decimal form, rounded-off into four (4) decimal places