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3) You go out and collect the following estimates of earthworms/acre: 54776 58878 51608 67020 66732 59518 57659 These data yield the following: y = 59,455.86, and s = 5733.16 a) Construct a 95% CI for these data. b) Construct a 99.8% CI for these data. c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate consistent with the data above? (Historical note: His estimate was considered way too high in his day). 4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this usually the case (in other words, will a 99.8% CI contain most of the observations)? Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in 6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure, substitute 6,000 for 7 in your calculation for 3(b) to see what happens.

3) You go out and collect the following estimates of earthworms/acre: 54776 58878 51608 67020 66732 59518 57659 These data yield the following: y = 59,455.86, and s = 5733.16 a) Construct a 95% CI for these data. b) Construct a 99.8% CI for these data. c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate consistent with the data above? (Historical note: His estimate was considered way too high in his day). 4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this usually the case (in other words, will a 99.8% CI contain most of the observations)? Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in 6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure, substitute 6,000 for 7 in your calculation for 3(b) to see what happens.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3) You go out and collect the following estimates of earthworms/acre: 54776 58878 51608 67020 66732 59518 57659 These data yield the following: y = 59,455.86, and s = 5733.16 a) Construct a 95% CI for these data. b) Construct a 99.8% CI for these data. c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate consistent with the data above? (Historical note: His estimate was considered way too high in his day). 4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this usually the case (in other words, will a 99.8% CI contain most of the observations)? Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in 6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure, substitute 6,000 for 7 in your calculation for 3(b) to see what happens.
Transcribed Image Text:3) You go out and collect the following estimates of earthworms/acre: 54776 58878 51608 67020 66732 59518 57659 These data yield the following: y = 59,455.86, and s = 5733.16 a) Construct a 95% CI for these data. b) Construct a 99.8% CI for these data. c) Darwin once estimated that an acre of soil had about 50,000 worms in it. Is his estimate consistent with the data above? (Historical note: His estimate was considered way too high in his day). 4) Consider the results of 3(b). Notice that all the data fit within the 99.8% confidence interval. Is this usually the case (in other words, will a 99.8% CI contain most of the observations)? Caution: a lot of people get this wrong! Here's a hint: suppose you had measured the worms in 6000 acres (instead of just 7). What happens to the confidence interval? If you're not sure, substitute 6,000 for 7 in your calculation for 3(b) to see what happens.
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