Part I. A medical trial is conducted to test to test whether a certain drug can treat a certain allergy or not. Upon trial, the t-value is computed as 1.311. The critical value is shown in the figure. Locate the t-value and complete the table below to discuss the findings of the medical trial. 3 25 2 15 4 05 0 0.5 1 15 2 25 3 H.: The computed Decision: t-value is at the Ha: region.Part III. 1. Based on the data provided in a known website article entitled "Tuition Fee Guide: 2019 Cost of College Education in the Philippines", the average tuition fee in private colleges and universities is greater than P145,000 a year. Suppose that we want to perform a hypothesis test to find whether the average tuition fee is greater than P145.000. a. Determine the null and alternative hypotheses for the hypothesis test. b. Classify the hypothesis as two-tailed, left-tailed, or right-tailed. Phil Ad Pap or DOL 2. A traffic enforcer believes that the number of cars passing through a certain intersection during rush hours in weekdays follows a normal distribution with an average of 800. A new highway is opened, and it is hypothesized that the number of cars passing through the intersection will decrease as a result. A sample of 15 weekdays is taken, and the mean number of cars passing through the intersection is 750 with a sample standard deviation of 42. a. Determine the null and alternative hypotheses for the hypothesis test. b. Classify the hypothesis as two-tailed, left-tailed, or right-tailed.points.) Problem No. 1 A raffle is held to raise funds for a charity event. A raffle ticket costs P100.00 and there are two thousand tickets to be sold. Only one ticket holder will win a prize of P100, 000. 00. Construct the probability distribution of the discrete random variable, compute for the expected value, and interpret the result. Problem No. 2 A life insurance company will sell a P250,000.00 one-year term life insurance policy for members of armed forces of the Philippines for a premium of P500.00. Let X denote the net gain from the insurance company. Based on the collected data of the company, a member of the armed forces police has a 99.96% chance of surviving within one year. Let X the net gain of an insurance company from a single policyholder. Show the probability distribution of X, find the expected value, and interpret the result. Problem No. 3 Suppose you and your friends conducted a donation-drive in your barangay. Each of the donors gave a certain amount with an average of P320.00 and a standard deviation of P60.00. Assuming, it is normally distributed, what percentage of the distribution that the amount falls between P260.00 and P380.00? How much of the donations fall in 95% of the distributions? Problem No. 4 The first quarterly assessment result of Grade 11- ABM students in their Statistics and Probability subject had scored with a mean of 40 and a standard deviation of 8. Show a histogram of the data and use the Empirical Rule to find the percentage of scores between 28 to 48. Problem No. 5 Find the area that corresponds to each of the following z values. Sketch and label each curve. 1. to the right of z = 1.28 2. below z= -0.20 3. above z= 1.57 4. at least z =-127 5. between z =-2.34 and z = 1.57