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I. Problem- Solving. Final answer must be a conclusion. 1. A researcher found that the IQ scores of the ALS students in the Division of Quezon Province are normally distributed with a mean of 110 and a standard deviation of 10. How many ALS students are needed to test so that the estimate will not be more than 5 from the population mean with a 99% level of confidence? 2. A confidence interval estimate has a maximum error of 2.50. If the distribution of the data where the estimate is obtained is normal with a standard deviation of 9. How many samples are considered in 98% confidence interval estimate for the mean?II. State the null and alternative hypotheses for each statement. 3. In 2015, it was recorded that around 34% of the population were not married. A researcher surveyed a random sample of 500 couples. He found out that 18% of them were living together but unmarried. Test 5% significance level if the current percentage of unmarried couples is different from 34% In words: In symbols: Ho: H: 4. We want to test if college students take less than five years to graduate from college, on the average. In words: In symbols: Ho: Ha: 5. In an issue of U.S. News and World Report, an article on school standards stated that about half of all students in France, Germany, and Israel take advanced placement exams and a third pass. The same article stated that 6.6% of U.S. students take advanced placement exams and 4.4% pass. Test if the percentage of U.S. students who take advanced placement exams is more than 6.6% In words: In symbols: Ho: Ha