Help me to answer all the following given problems below, Statistics and Probability Tutorsss...

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Activity _: Hark Hy Number-l Directions: In each problem, underline the population standard deviation ,u" sample standard deviation and circle the number of samples. 1. A sample of 150 people has a mean age of 2'? with a population standard deviation [D] of 5. Test the hypothesis that the population mean is 25.? at o=.05. 2. An electric lamps manufaemrer is testing a new production method that will be considered aeceptable if the lamps produced by this method result in a normal population with an average life of 1,3013 hours and a. standard deviation equal to 12D. A sample of 1m} lamps produced by this method has an average life of 1,253 hours. 3. The cholesterol levels in a certain population have mean of 210 and standard deviation 2 l. The cholesterol levels for a. random sample of 9 individuals are measured and the sample mean 3'. is determined. 1|What is the zscore for a sample mean 2:180? Activity . Chock It Out! Directions: Read and analyze each problem. On the table below, put a check on the columns of the criteria that correspond to the given problem. 1. It is claimed that the average age of working students in a certain university.r is 35. A researcher selected a random sample of 25 vmrlring students. The computation of their ages resulted to an average of 32 years with standard deviation of 1D years. 2. Amanufacturerofiires claimthattheiriire hasamean life ofatleast 50-,kms. A random sample of 28 of these Iires is tested and the sample mean is 33,Gk:ms. Assume that the population standard deviation is 3,lms and the lives of the res are approximately normally.r distributed. 3. On average, a drinking vending machine is adjusted so it dispenses 240ml of fruit juice. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. A sample of28 with a standard deviaon of 15ml in plastic cup drinks is taken to test the adjustment of the machine. am Activity . Which is Which? Directions: Identify the appropriate test statistic to be used in each problem. Write z-test or t-test on a separate sheet of paper. 1. A sample of n=25 is selected from a normal population, x=56 and s=12. 2. Based on the report of the school nurse, the average height of Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm. 3. Knowing from a previous study that the average of athletes is 80, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the average of student athletes, the adviser randomly selected 15 soccer players and found 85 as the average with standard deviation of 1.25