Test III. PROBLEM SOLVING (3 POINTS): Solve the following by hypothesis testing. 1. The following data show the age of a car and its average mileage/liter. Age (in 0 2 3 5 6 years) Mileage 20.6 18.1 16.3 15.5 14.1 13.9 11.2 per liter (in km) a. Find the regression line that will predict the average mileage/liter of the car.ACTIVITY 1: COMPUTE ME Direction: Read and analyze the following problems. Write your answer on the space provided. 1. Mr. Sy asserts that fewer than 5% of the bulbs that he sells are defective. Suppose 300 bulbs are randomly selected, each are tested and 10 defective bulbs are found. Does this provide sufficient evidence for Mr. Sy to conclude that the fraction of defective bulbs is less than 0.057 Use a = 0.01 as the critical value. 2. A school administrator claims that less than 50% of the students of the school are dissatisfied by the community cafeteria service. Test this claim by using sample data obtained from a survey of 500 students of the school where 54% indicated their dissatisfaction of the community cafeteria service, Use a = 0.05