NOTE: ANSWERS MUST BE DIGITALIZED NOT HANDWRITTEN BECAUSE I AM HAVING A HARD TIME SEEING MESSY HANDWRITING

Solve the following problems. Show the complete solution and box the final answer.

1. Administering a test has a mean length of 60 minutes. Mrs. Balbio wants to estimate the true mean length of her students in Grade 12 Newton in taking their test. How many students does she need at a 95%% confidence interval with a margin of error equal to 2.5 and standard deviation of 5?2. Ms. Torrecampo wants to know the population proportion of Grade 11 students who prefer blended learning. If she is allowed to use 35% only of the total number of Grade 11 students in Manuyo and wanted 5 as margin of error, how many students she needs in the survey at 99% confidence level? 3. In the Unified Numeracy Test, the numeracy literacy of the Grade 11 students was observed to be with a standard deviation of 5.3. Mr. Estrada would like to administer again the UNT to estimate the true population mean within 1.5 maximum error. If he would like to adopt a 97% level of confidence, how many students are needed?4. Mr. Lontok wants to interview a proportion of the population of the Grade 12 students to determine whether they are familiar with Disaster Risk Reduction (DRR) Program. Those who graduate the previous year showed 86%% knew the DRR. How many samples he needs if he asserted 90% confidence level with 0.05 margin of error