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The google doc info is the two set of mean above numbers above sample size 5 and sample size 20 My set of means from

The google doc info is the two set of mean above numbers above sample size 5 and sample size 20

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My set of means from the size 5 data( 4 means) (54.8, 27.6, 43.8, 29.6 ), (32.6, 67, 32.4, 39.8), (44.8, 51.2, 45, 42.8),(53.2, 69.6, 33.6, 45.4),(27.2, 52.8, 67.4, 71), (65.2, 57.6, 25, 76.4), (54.4, 59.4, 33, 50.6), (54.4, 59.4, 33, 50.6) , (62.6, 48.6, 40, 50.4), (46.8, 29.8, 39.4, 34.2), (55.2, 57.4, 76.4, 76.4), (65.8, 44.2, 68.8, 50), (42.2, 41.6, 45.2, 40.4),(74.8,65.8,36.2,48.8), (47.8,26.8,48.8,66.8), (48.8,50.2,48.6,68.6), (48, 39.6, 61.6, 45.6), (54.8, 39.4, 51.2, 50) , (57.2, 59.8, 39.8, 65.2), (51.2, 59.2, 50.2, 53.6) (39.6, 64.8, 43.6, 49.2) (44.4, 49.8, 56.8, 47), (55.4, 48.2, 36.2, 68.4 My set of means from the size 20 data (enter your 2 means (36.75, 51.25), (36.75, 51.25)(49.85, 51.4) (55.25, 52.05 ), (42.65, 48.65) ,(55.15, 59.9 ) ,(43.35, 46.75) ,(53.55, 47.25) (42.85, 50.35) (50.25, 55.25), (43.05, 58.2), (54.85, 47.85) ,(51.45,47.05) (51.79,50.95) ,(54.6,57.4,) (60.65,39.85) (49.5, 50.7) (47.5, 52.85) (51.35, 51.05), (49.7, 55), (56.5, 38.65), (57.75, 52.85), (59.85, 49.1), 5. Look over the google doc - what proportion of size 20 samples have a mean over 65? How close did we get to the proportion the mathematics in #4 predicts? 5. What is the probability that a single randomly chosen value (from 1 to 100) would be between 40 and 60? [Note that this is a uniform distribution, so don't use the NormalCdf command, think of it like a spinner with 100 slots] 7. What is the probability that the mean of a group of 5 randomly chosen values (from 1 to 100) would be between 40 and 60? [see #2 for the SD] 8. Look over the google doc- what proportion of your group's samples of 5 have a mean between 40 and 60? How close did we get to the proportion the mathematics in #7 predicts? 9. What is the probability that the mean of a group of 20 randomly chosen values (from 1 to 100) would be between 40 and 60? [see #4 for the SD] 10. Look over the google doc- what proportion of your group's samples of 20 have a mean between 40 and 60? How close did we get to the proportion the mathematics in #9 predicts? 11. Use the SD you found in (2) that has been adjusted for the sample size, and the Empirical Rule to say what 95% of the sample means will fall between in samples of size 5. 12. Working backwards: With a sample of size 20, what sample mean would fall at the 17 percentile? The 75 percentile? of 52

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