PERFORMANCE TASK: Learning Activity 3: Be a Good Follower! Direction: Using the steps in testing hypothesis, answer the following problems. Write your complete solutions on a separate sheet of paper. ( CHOOSE 2 FROM THE PROBLEM) 1. Mapalad Integrated High School determined students' Body Mass Index (BMI) at the opening of classes. It has been recorded that the average height of female students is 154.2 centimeters with a standard deviation of 9 centimeters. A researcher conducted her own study and she randomly selected 40 female students. In her study, she got an average of 156.7 centimeters. Is there a reason to believe the claims of the school? Use 5% level of significance in testing the hypothesis. 2. The manager of a certain TV station claimed that the average rating of people watching their noontime teleserye in Manila is 62.5. A researcher randomly selected 25 people and asked them their favorite noontime teleserye. He computed the mean and obtained 67.8 with standard deviation of 15.9. Is there a reason to believe that the manager is correct? Use 0.01 as the level of significance. 3. According to the report of National Economic Development Authority (NEDA) last year, a Filipino household spends an average of P333 a day. You took a random sample of 20 households and determined the amount of their allotted budget each day revealing a mean of #420 and standard deviation of P120. Using 0.01 level of significance, can it be concluded that the average amount spent per day by a Filipino household has increased? Assume normality over the population