A.

Situation: Joe, a DOH COVID-19 tracker, found out that the number of infected persons of COVID-19 in seven low-risk provinces of the country are 1, 9, 2, 12, 8, 7, and 10. Suppose that 5 provinces as drawn as sample.

1.What is the mean, variance and standard deviation of the population?

2.How many different samples of size n = 5 can be drawn from the population? List them with their corresponding mean.

3.Construct the sampling distribution of the sample mean.

4.What is the mean of the sampling distribution of the sample mean? Compare this to the mean of the population.

5.What is the variance of the sampling distribution of the sample mean?

B.

Coreg was able to sell several pairs of Marikina shoes that have sizes of 4, 5, 6, 7, and 8. Consider samples of size 3 that can be drawn from this population. a List down all the possible samples and corresponding sample mean. Sample Sample Mean b. Construct the sampling distribution of the sample means. Sample Mean Frequency Probability P(x) c. Draw a histogram of the sampling distribution of the sample mean D FO tates]Situation Given Answer Standard error formula 1. Consider a population consisting of N= 1, 2, 3, 4, 5, 8, 9, and 11. Samples of size 3 are drawn from this population. n = 2. Given the population mean of 12, 1 = and a sample standard deviation of 3 in a sample size of 125 S = 3. A population composed of 11 items whose measurements are 12, 7. N = 9,11,8, 20, 23, 18, 13, 22, and 10. n = Samples of 5 items are drawn at random without replacement. 4. The owner of the drugstore chain has 100 drugstores that sell Flexcoslow, a surgical mask that W = prevents a person from catching liquid droplets of viruses. His operation manager said that the U= average drugstores in his chain sell 12 boxes of the Flexgoslow a day with a standard deviation of 2 boxes. To find out if this is true, the owner randomly S= selected 10 stores and found that the mean is 15 boxes with a standard deviation of 1 box