STAJellyblubber

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Grand Valley State University *

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215

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Statistics

Date

Jan 9, 2024

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docx

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4

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Names:____ 1. Look at the Jellyblubbers colony. Pick out 10 Jellyblubbers that you think are a good representation of the entire population. Using the extra sheet, record the lengths of each of the Jellyblubbers that you picked in the table below. Jellyblubber Number Length Jellyblubber Number Length 4 33 52 37 12 5 62 25 28 49 79 17 35 20 85 10 44 15 91 42 2. What is the average length of the 10 Jellyblubbers from your sample above? Average Length of the 10 Jellyblubblers was….25.3 from my sample. 3. Describe the process you used to select your Jellyblubbers. I looked at the Jellyblubbers and chose different sizes from the perspective of my eyes. I tried to pick the smallest blubber and the biggest blubber I could pick out. I also tried to chose ones from all over the board to make it more “random” or “equal”. 4. Would you consider this a simple random sample? Why or why not? I honestly would not consider my sample to be random. I put too much thought into picking the blubbers, trying to include different sized blubbers from all across the colony. It is human error are this point as I chose my blubbers based on trying to include all different sizes in my sample. Closing my eyes and throwing darts at my computer screen and just recording the blubber the dart hit would be more random then the way I collected my sample from the colony. Use Excel or Google Sheets to randomly generate 10 Jellyblubber numbers from the 100 possible Jellyblubbers. Record the Jellyblubber numbers and the lengths of the Jellyblubbers that Excel selected. Jellyblubber Number Length Jellyblubber Number Length 32 20 17 5 15 5 20 20 7 10 81 81 47 30 85 85 96 40 9 20 5. What is the average length of the 10 Jellyblubbers from your sample above? The Average Length of the 10 Jellyblubbers is… 16.8 from the sample above.
6. Would you consider this a simple random sample? Why or why not? I would consider this a random sample, as it was generated and not studied by the human eye. The generator had no clue what number was each Jellyblubber and what the jellyblubber looked like. It gave a more random set of numbers by being blind to the data which can help in random sampling. 7. When you are done through question #6, please fill out the Google Forms questionnaire with your answers to #2 and #5. Please do so before 9:00 tonight. A second video will follow later tonight/tomorrow morning with instructions to complete the rest of this activity. 8. Suppose I didn’t have a random number generator and I was given the sheet of Jellyblubbers. To randomly pick 10 Jellyblubbers I blindly placed my finger somewhere on the sheet. If I landed on a Jellyblubber I recorded the Jellyblubber number and length. If I did not land on a Jellyblubber I did not record anything. I repeat this process until my finger has successfully landed on a Jellyblubber 10 times. Would you consider this a simple random sample? Why or why not? I would agree that this method is a simple random sample. It is taking away the human factor of looking at the jellyblubbers and picking them based on their different sizes as I did. This would be a more randomized way to pick the jellyblubbers. My only concern is that what if you finger lands on two jellyblubbers, what do you do then? Do you pick one or record neither? This method is good if given all the directions on what to do for different scenarios. So, others can perform the same method efficiently as well. 9. Identify the following for this survey. (I am looking for more than just numbers here, but you may use numbers in your answer.) Population: All Jellyblubbers_________ Individual:____A Jellyblubber___________ Sample:___The 10 Selected Jellyblubbers____________ 10. Record the mean of all of the values on the board for both C.S. and R.S. C.S. stands for convenience sample, R.S. stands for random sample. ´ x ( CS ) = ¿ ___23.95_______ ´ x ( RS ) = ¿ ____20.82______ 11. The true mean length of all Jellyblubbers is 19.4 mm. Which value from #10 is closer? Should our estimates be exact? Why or why not? What could we do to get closer to the exact value? The Random Sample is closer to the true mean length. Our estimates aren’t always exact as it is completely random. To get closer to the exact value we could eliminate more human error, as possibly when selecting the randomizer, they clicked too fast and skipped over a number, or just lied about their numbers because they couldn’t get the randomizer to work. Perhaps we were just given random numbers by a website or our teacher. When you are done, please email helmhoer@gvsu.edu this document for full credit. One of the 4 points will be based on getting your results in from #2 and #6 via Google Forms and the other 3 points will be based on completion/valid effort on the rest of the questions.
The JellyBlubber Colony Blubber # Length Blubber # Length 1 9 51 35 2 5 52 37 3 9 53 9 4 33 54 25 5 22 55 5 6 5 56 10 7 10 57 9 8 40 58 45 9 20 59 40 10 10 60 8 11 12 61 20 12 5 62 25 13 8 63 10 14 41 64 8 15 5 65 37 16 32 66 8 17 5 67 20 18 10 68 13 19 21 69 34 20 20 70 42 21 34 71 40 22 5 72 40 23 32 73 40 24 5 74 30 25 9 75 20 26 40 76 7 27 5 77 5 28 49 78 25 29 9 79 17 30 41 80 8 31 5 81 8 32 20 82 5 33 43 83 13 34 7 84 42 35 20 85 10 36 10 86 5 37 5 87 10 38 14 88 27 39 15 89 30 40 10 90 10 41 41 91 42 42 5 92 6 43 17 93 10 44 15 94 25 45 40 95 7 46 5 96 40 47 30 97 8 48 8 98 5 49 5 99 40 50 40 100 20
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The JellyBlubber Colony 11 12 45 73 85 86 46 47 33 19 84 63 39 21 69 32 31 35 34 24 25 18 6 81 68 66 77 55 65 52 42 43 44 49 74 98 87 82 88 78 67 48 40 29 23 27 16 13 2 3 1 14 80 57 54 41 20 22 15 56 10 9 8 7 5 83 76 90 97 100 94 92 93 95 96 99 89 91 79 75 71 38 60 72 64 62 53 70 59 61 58 50 51 37 28 36 17 26 4 30