t. Identify if the given statement is TRUE or FALSE. 1. PE the sample size decreases then the sample mean increases. 2. if the population distribution deviates largely from normality then larger samples will be needed to approximate normality. 3. Point estimate calculated from the estimated sample data to the unknown population parameter. 4. Large sam ples have narrower widths than small samples. 5. Higher confidence levels have wider intervals than lower confidence interval. 6. Normal distribution can be used for approximate binomial distribution. 1". The estimated standard error is the standard distance between the sam ple and population mean . 8. A sample size of 25 is sufficient to obtain a normal sam pling distribution. 9. Central Limit Theorem will satisfy if there are many small random events to be tested. 10. Interval estimation provides a range of values that may contain the unknown parameter. it. Answer the following problems. Show your com plete solutions 1. The score of 5H5 students in their First Quarterly Exam in Statistics and Probability were analyzed and found to have a mean of 54.5 and standard deviation of 2.5. Find a 90% confidence interval. 2. The Aptitude Test was administered to random sample of 120 5H5 students. The sample mean was 134.2 with standard deviation of 12. Find 29% confidence interval. 3. The average height of randomly chosen 45 female students was 155 cm. with standard deviation of 3.5 cm Find the 95% confidence interval. 4. The average weight of randomly selected 23 adult males was dSkigs. with standard deviation of 2.2 kgs. Find a 29% confidence interval