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 12Colle ge of t he Im macul ate Co nceptionINTEG RATED BASIC EDUC ATIONSENIOR HIGH SCH OOL D EPARTMENTMATRA11.Socially RGyponale Leaders Making a DeferonceAvoid erasures.4.students of 60 Grade 12 students' ages was obtained to estimate the mean age of all Grade 12confidence interval for population mean u.5.DormnliHiy selected 80 scores from the scores of the students enrolled in a Statistics class that ishormally 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 takesits graduates to find a job, A sample of 36 graduates was surveyed and it was found that theaverage time it took a graduate to find a new Job was 3.5 months with a standard deviation of 1.5months.a.Construct a 99% confidence interval for the true mean time for the graduates of thisdepartment to find a job.b.If you will be conducting a similar study using the 95% confidence level and a margin oferror 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 femaleholding executive positions inPhilippines is normally distributed. In a random sample of 300 female employees in governmentagencies, 75 female employees hold executive positions. Find the 95% confidence interval for allfemale employees in the government agencies holding executive positions.the government agencies in a certain populated city in the8.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 themaximum error will not exceed 5%?Suppose the researchers conducted the survey involving 500 senior high school studentsand 400 responded that they have social media accounts. Give the 99% confidence intervalfor 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 standarddeviation of 20 mg. You want to investigate the same to estimate if the true population mean ofcaffeine content is correct within 5 mg adopting 98% confidence. How many cups of the samebrand 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 wereselected 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 productfollow a normal law of variance of 25, determine the confidence interval at 95% for the populationmean.

Name: students. The sample mean is 17.3 years and the population standard d
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Description: 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 e

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Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION 
here given,
n = 60
sample mean  =  17.3…

A sample of 60 Grade 12 studentsʻ ages was obtained t o estimate the mean age of all Grade 12 4. confidence interval for population mean u.