students. The sample mean is 17.3 years and the population standard deviation is 3. Give the 99% On a separate sheet of paper, analyze and soive the following problems carefully. Write legibly. A...

Extracted text: students. The sample mean is 17.3 years and the population standard deviation is 3. Give the 99% On a separate sheet of paper, analyze and soive the following problems carefully. Write legibly. A sample of 60 Grade 12 students' ages was obtained t o estimate the mean age of all Grade 12 Colle ge of t he Im macul ate Co nception INTEG RATED BASIC EDUC ATION SENIOR HIGH SCH OOL D EPARTMENT MATRA 11. Socially RGyponale Leaders Making a Deferonce Avoid erasures. 4. students of 60 Grade 12 students' ages was obtained to estimate the mean age of all Grade 12 confidence interval for population mean u. 5. DormnliHiy selected 80 scores from the scores of the students enrolled in a Statistics class that is hormally distributed with a standard deviation of 10 have a sample mean of 85. a. Find the margin of error if the confidence level is 90%. Give the 98% confidence interval for the entire scores of the students in the Statistics class. b. 6. The Statistics Department of MYK University is conducting a study to determine how long it takes its graduates to find a job, A sample of 36 graduates was surveyed and it was found that the average time it took a graduate to find a new Job was 3.5 months with a standard deviation of 1.5 months. a. Construct a 99% confidence interval for the true mean time for the graduates of this department to find a job. b. If you will be conducting a similar study using the 95% confidence level and a margin of error equal to 0. 5 months, how many graduates should you interview? 7. Based on the results ofa survey conducted by a group of researchers, the proportion of female holding executive positions in Philippines is normally distributed. In a random sample of 300 female employees in government agencies, 75 female employees hold executive positions. Find the 95% confidence interval for all female employees in the government agencies holding executive positions. the government agencies in a certain populated city in the 8. A survey will be conducted on the use of social media amon g senior high school students. How large a sanmple must be obtained if the researchers want to be 95% confident that the maximum error will not exceed 5%? Suppose the researchers conducted the survey involving 500 senior high school students and 400 responded that they have social media accounts. Give the 99% confidence interval for the true proportion of senior high school students who have social media accounts. a. b. A particular brand of coffee contains an average of 112 mg of caffeine per cup with a standard deviation of 20 mg. You want to investigate the same to estimate if the true population mean of caffeine content is correct within 5 mg adopting 98% confidence. How many cups of the same brand of coffee should you have for your sample? 9. 10. A sample of the various prices for a particular product has been conducted in 16 stores which were selected at random in a neighborhood of a city. The following prices were noted: 95, 108, 97, 112, 99, 106, 105, 100, 99, 98, 104, 110, 107, 111, 103, and 110. Assuming that the prices of this product follow a normal law of variance of 25, determine the confidence interval at 95% for the population mean.