Activity #5 (8 points) Sampling Distribution of the Mean and the Central Limit Theorem: View the Against All Odds Video Unit 22 "Sampling Distributions" using the link below or using the link posted in Canvas and answer the following questions: httpwwwwlearner.orglcoursesz'againstalloddslunitpagesiunit22.html a. The first portion of the video looks at the distribution of the heights of 20 grade school children (a population) and the distribution of the means of every sample of size 4 from the population. Describe the shape, mean and standard deviation of the population (all 20 children) and the sampling distribution (the means of all samples of size 4 from the population). How are the distributions alike and how are they different? (2 points) b. The second portion of the video discusses how the Normal Distribution is used in manufacturing. Describe what a control chart is, what it shows and what is meant by "in control" or "out of control".(2 points) 0. The third topic in the video is the distribution of the duration of calls (in seconds) at a call center. Describe what the population distribution of the duration of calls for one month looks like and describe how the sampling distribution of the means of the duration of calls changes as the sample size gets larger. (2 points) d. Write the denition of the Central Limit Theorem and include the relationship between the mean and standard deviation in the distributions of the population and the sample means. (use the video and the text Section 6.5). Explain in your own words what it means. (2 points)