Directions: Follow the steps in testing hypothesis to answer the following problems. 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. The 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 333 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 120. 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.

4. One of the psychological tests conducted by the guidance counselors in a public school is the Survey of Study Habits and Attitudes (SSHA) that measures student's attitudes toward studying. The mean score of Senior High students is 135 with standard deviation of 35. Makisig suspects that older students have better attitudes toward school. He randomly selects 50 Grade 12 students who are at least 18 years old and gives them SSHA. The test result has a mean score of 144.8 points. Is there a reason to believe that the claim of the guidance counselors is correct? Assume that the population mean score is normally distributed. Carry out a significance test at 5% level.

5. 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 significance.