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PART I. State what type of error (Type I or Type II) occur on the following statements and its corresponding probability. 1. Bryan thinks that he is a sixwfooter. His actual height is 156 cm. 2. On a moonlit night, a young man declares that there are two moons. 3. Mark says \"I am virtuous!" In the next moment, he nds himself in jail. 4. Thousands of years ago, Ptolemy declared that the earth is at. 5. On a beachfront, a signage reads, \"No littering of plastic wrappers, empty bottles, and cans\". A few yards away, environmentalists are picking up the rubbish left behind by picnic lovers. 6. Suppose it is Christmas season and Janine thinks that it is the month of January, what error is she committing? PART II. State the null and the alternative hypotheses in a) words and in b) symbols. State whether the test is c) directional or non-directional. 1. Bottled Fruit Juice Content. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of a bottle of their product is 250 ml. Is the claim true? A. In words, the hypotheses are: H0: H1: B. In symbols, the hypotheses are: lHo; Hm\\ C. Is it directional or non-directional? Write your answer here: 2. A teacher wants to know if listening to popular music affects the performance of pupils. A class of 50 grade 1 pupils was used in the experiment. The mean score was 83 and the standard deviation is 5. A previous study revealed that p=82 and the standard deviation o=10. A. In words, the hypotheses are: Ho'. B. In symbols, the hypotheses are: _% C. Is it directional or non- directional? Write your answer here: 3. A farmer believes that using organic fertilizers on his plants will yield greater income. His average income from the past was 200,000.00 per year. State the hypothesis in symbols. A. In words, the hypotheses are: Ho: B. In H(iimoms, the hiiotheses are: C. Is it directional or non- d-irectional? Write your answer h'ere