Here, we will explore samples and populations and the various values that represent them in the context of Australian Terrier weights. https://onlinestatbook.com/stat_sim/sampling dist/ (1) First, run 3 different trials with the population distribution (top histogram) set to Normal. This distribution summarizes the weight of all Australian Terriers. Next to the 3d graph image, set N=25 and select the "fit Normal" box. Now generate your first sampling distribution by selecting "10,000" next to the second graph area. You will see a blue histogram appear in the 3rd area. After you record the statistics (listed to the left of the 3rd graph), go up to the top and click "Clear Lower 3". Then click "10,000" again to get a new distribution. Do this one more time so you have 3 different distributions when you are done. On the left side of the histograms, you will see the statistics generated. Record those values below (4 points): TABLE A Mean Standard Deviation Shape n Population Distribution Sampling Dist #1 25 Sampling Dist #2 25 Sampling Dist #3 25 Page 1 Respond to the questions below based on your results: (2) How do your 3 sampling distribution means compare to the population mean (1/2 point)? (3) How does the standard deviation of your sampling distributions compare to the standard deviation from the population (1/2 point)? (4) What was the shape of the 3 sampling distributions you generated (1/2 point)? (5) Looking at the blue distribution below (the bottom one), what are we plotting on the x-axis (1 point)?(6] looking at the blue distribution below {the bottom one], What range of sample means for weights of Australian Terriers would you consider probable (1 point]? Probable range = pounds to pounds 3? Hm \"I \":5 i (7] Is a sample mean of 10 pounds likely in this third sampling distribution? Why or Why not {1 point]? What your group just did was generate 10, 000 samples of size 25. You did this 3 times. Each of your three histograms can be considered a sampling WM. Use the statistics from the rst histogram you generated [second row of your table on page 1) with your calculator to determine the following probabilities [1 point eachJ. (8] What is the probability you will draw a random sample of 25 Australian Terriers with a mean weight of over 16.5 pounds? (9] What is the probability you will draw a random sample of 25 Australian Terriers with a mean weight of no more than 14.75 pounds? (10) What sample mean cuts o' the lowest 15% of sample means for weights of Australian Terriers? (11) Complete the following probability model for the age groups represented by all US adults over .20 years old as .Of 01 July 2020 (source. new W2 pointl- Pages (12) Based on the probability model above, what is the probability a randomly selected individual is NOT over 60 [1 point]? [13) Your friend tells you he bought a scratch-off lottery ticket yesterday because he's got a 50 f 50 chance of \"mining [either he wins or loses). What is your response [2 points)