Problem Solving: Solve each problem using Central Limit Theorem and choose the letter of the correct answer.1.) The world is now facing a COVID-19 pandemic, an infectious disease which can be prevented by frequently washing your hands and by avoiding close contact with people who are sick. About a decade ago, a similar disease was experienced which was named severe acute respiratory syndrome (SARS). It is recorded that the average age of those who are infected is 32.6 years old with standard deviation of 3.7 years. If 50 given sample? samples are to be chosen, what would be the mean and the standard deviation of the A.) Mean = 32.6 years old, Standard Deviation = 3.7 years B.) Mean = 4.61 years old, Standard Deviation = 3.7 years C.) Mean = 32.6 years old, Standard Deviation = 0.52 years D.) Mean = 4.61 years old, Standard Deviation = 0.52 years 2.) A random sample of n=60 measurements is obtained from a population with u = 198 and o = 23. Describe the sampling distribution of sample means by computing ux and ox . Solve for ux and ox . A.) ux = 198 and ox =23 B.) ux = 198 and ox =2.97 C.) ux = 25.56 and ox =23 D.) ux = 25.56 and ox =2.97 3.) Pasig City is 3rd richest city in the Philippines behind Makati City and Quezon City. If we compute the standard deviation of the gross income of these cities we will get 5.78 million pesos. If we randomly choose 10 cities, what will be the standard distribution of the sampling distribution of sample mean? A.) 0.58 B.) 1.16 C.) 1.83 D.) 2.89 4.) A population has a mean of 50 and a standard deviation of 4. A random sample of 9 students is drawn from this population. Compute its mean and standard deviation. A.) ux = 5.56 and ox =0.44 B.) ux = 50 and ox=4 C.) ux = 16.67 and ox =1.33 D.) ux = 50 and ox=1.33 5.) A population has a mean of 1000 and a standard deviation of 72. A random sample of 100 students is drawn from this population. Compute its mean and standard deviation. A.) ux = 10 and ox =0.72 B.) ux = 1000 and ox = 0.72 C.) ux = 1000 and ox = 7.2 D.) ux =1000 and ox =72