Hello, Tutors! Please help me with my activities in Statistics and Probability.

Reminder: Please provide solutions if needed. Also, I will never rate your work as "unhelpful". Once you're done and I am satisfied with your work, I will rate you helpful. (I know that unhelpful affects your ratings as a tutor, so, I won't rate unhelpful).

Task A:

Describing the sampling distribution of the sample means from an infinite population.

1. A population has a mean of 60 and a standard deviation of 5. A random sample of 16 measurements is drawn from this population. Describe the sample distribution of the sample means by computing its

mean and standard deviation. (PROVIDE SOLUTION)

2. The heights of male college students are normally distributed with mean of 68 inches and a standard deviation of 3 inches. If 80 samples consisting of 25 students each are drawn from the population, what would be the expected mean and standard deviation of the resulting sampling distribution of the means? (PROVIDE SOLUTION)

Task B:

Answer the following. PLEASE PROVIDE SOLUTIONS.

Situation: A study shows that children watched television by an average of 48 hours per week with a standard deviation of 12 hours per week.

1.) If a sample of 100 children are randomly selected in MAST Elementary School, find the probability that they watch an average of:

a. 45 hours to 50 hours.

b. more than 52 hours

c. below 46 hours.

2.) If a sample of 150 children are selected in Barangay Husia, find the

probability that they watch an average of:

a. 45 hours to 50 hours.

b. more than 49 hours

c. below 46 hours.

TASK C:

Create a journal. Create real-life situations where knowledge of sampling and sampling distribution can be applied. (Show solution for answers).

Reminders: Please do not answer this one if you're not confident of your work. I need it for my modules. Thank you so much! I'll be waiting.