For items 14-17, refer to the problem below. A random selection of Grade 12 students was asked whether they enjoyed going to school or not. Those who responded with "I" are the Grade 12 students who 0 15. Interpret your answer in itcm # 14. 16. Use 90% confidence level to estimate the proportion of ail Grade 12 students who enjoyed going to school. 17. Interpret your answers in item #16. For items 17-21, refer to the problem below. A sample of 1,325 commuters are surveyed about whether traffic enforcers help reduce heavy traffic. 862 commuters disagreed. 8. What is the proportion of the commuters who agrees that traffic enforcers help reduce heavy traffic? 19. Interpret your answer in item # 18. 20. Use 95% confidence to estimate the proportion of the commuters who disagree that traffic enforcers help reduce heavy traffic. 21. Interpret your answer in item # 20. For items 22-25, compute for the minimum sample size needed when estimating population mean or population proportion. Interpret your answers. (2 pts each) 22. In a certain fun run, Jonalyn wants to estimate the mean weight of all 10-year old children who joined. She wants to be 95% confident that the estimate of u is accurate to within 0. 15 kg. Suppose from the previous study of the weights of the target population was 1.80 kg, what should sample size he? . In a PE class, a physical exercise has an average duration of 12 minutes with a standard deviation of 3 minutes. A PE teacher wants to estimate the true average adopting 99% confidence level. How many respondents does he need? 24. John wants to know, with 90% confidence, the proportion of parents who like to carol their children in a private school. A previous survey showed that 42.25% of the parents like to enrol their children in a private school. He wants to be accurate within 4.2% of the true proportion. What sample size does John need 25. The principal of the school wants to know the proportion of the students who wants to have a JS Prom. She wants to be 99% confident that her error will be at most 0.28. Similar surveys in the past showed that 64% wants to have a JS Prom. How large of a sample does the Principal need? For items 26-30, solve for the following. Answer the following. (30points) 26. A machine that produces components of mean length 10cm is set up correctly. A random sample of components produced is taken, and the length of each component is measured. Is the machine set up correctly? Identify the following. Directional Of Non Directional Ho: (must be in couation) He: (must be in equation) 27. The principal of a school claims that the mean "A" level score of all its students is at least 80. Has the principal overstated the mean? Identify the following. Directional or Non Directional Ha: (must be in equation) Ha: (must be in equation) 28. A random sample of JC students was each given an IQ test to decide whether JC students have a mean IQ of 100 or greater than 100. Identify the following. Directional or Non Directional Ho: (must be in equation) Hot (must be in equation) 29. Suppose that, according to national standards, 5 year old children of height 87.5 - 92.5 cm have a mean weight of 13kg. The weights of a random
