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STATISTICS AND PROBABILITY Q4_WEEK 1 (SY '21 -'22) UNDERSTANDING HYPOTHESIS TESTING I. Directions: State the null and alternative hypothesis in words and in symbols: 1. The school record claims that the mean score in Math of the incoming Grade 11 students is 18.5. The teacher wishes to find out if the claim is true. She tests if there is significant difference between the batch mean score and the score of students in her class. 2. The average number of calories of a low-calorie meal is at most 300. 3. A social worker wants to test (at a = 0.05) whether the average body mass index (BMI) of the pupils under feeding program is different from 8.2kg. 4. The average height of the college varsity basketball players in a certain university is 178cm. 5. A DTI representative wants to test at 99% confidence level whether the average content of a medium canned soda is less than 330 ml as indicated in the label. II. Directions: Read the given situation, then state the possible consequence of an error made. A quality control expert wants to test the null hypothesis that an imported solar panel is an effective source of energy. 1. Identify the Type I error in this context? What would be the possible consequence of committing the Type I error in this context? a. They do not conclude that the solar panel is effective when it is not actually effective. b. They do not conclude that the solar panel is effective when it is actually effective. c. They conclude that the solar panel is effective when it is actually effective. d. They conclude that the solar panel is effective when it is not actually effective. 2. Identify the Type II error in this context? What would be the possible consequence of committing the Type II error in this context? a. They do not conclude that the solar panel is effective when it is not actually effective. b. They do not conclude that the solar panel is effective when it is actually effective. c. They conclude that the solar panel is effective when it is actually effective. d. They conclude that the solar panel is effective when it is not actually effective