Solve the following problem. Show your solution

I. Hypothesis Testing Find the - Hypothesis (null and alternative), - Type of test (one tailed or two tailed), - Computed Value (Show solution) , - Critical Value and rejection region ( Illustrate), - Decision - Conclusion 1.According to the World Health Organization's statistics published in 2018, the lifespan of a person in the Philippines is 67 years old. A random sample of 25 obituary notices in the Philippine Daily Inquirer has an average mean of 60 years old with a standard deviation of 19 years. If the life span in the Philippines is normally distributed, does this information indicate that the population mean life span of Filipinos is less than 67 years old? Use 5% level of signicance. 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 signicance. 3.Massachusetts Institute of Technology (MIT) 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. The researcher conducted her own study and she randomly selected 40 female students. In his study, He got an average of 156.7 centimeters. Is there a reason to believe the claims of the school? Use 5% level of signicance in testing the hypothesis