show solutions

A certain municipality found out that the number of infected persons on the new variant of COVID-19 in their 5 barangays are 2, 3, 5, 1, and 6. Suppose that 3 barangays are drawn as sample. 1. What is the mean (u), variance (2) and standard deviation of the population ()? 2. How many different samples of size n =3 can be drawn from the population? 3. List them with their corresponding mean. 4. Construct the sampling distribution of the sample mean. 5. What is the mean (ux) of the sampling distribution of the sample mean? Compare this to the mean of the population. 6. 5. What is the variance of the (ox 2) of the sampling distribution of the sample mean?A. Find the area or region that corresponds to each of the following z values. Sketch and label each curve. Use pencil/pen, ruler and any coloring materials in sketching your curve. 1. below z = 1.41 2. above z = -26 3. Between z = -1.80 and z=2.12 B. Read, analyze and represent the given situation using standard normal distribution. Then answer what is being asked. Show your complete solution. Use the back portion as your answer sheet. Five hundred sixty five patients in a certain hospital were diagnosed, admitted and recovered with Covid- 19 cases. According to hospital staff, the average days of their patients' recovery is 15 days with a standard deviation of 3 days. What is the probability that one patient will recover from Covid-19 virus between 8 - 18 days