2) Let's revisit the earthworm problem from last week (you can look up ̄y and son last week's homework) (a) Test H0: μ = 58,766. Use α = 0.05. (b) Repeat, but now test H0: μ = 65,000. Again, use α = 0.10 (c) Finally repeat (b) except use α = 0.01. (d) What happened as you went from b to c (explain!).
3) You go out and collect the following estimates of earthworms / acre: 54,276 57,378 51,108 66,190 66,232 59,018 57,159 These data yield the following: ̄y = 58,766, and s = 5,689.606
a) Construct a 90% CI for these data. b) Construct a 99% 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).
2) Let's revisit the earthworm problem from last week (you can look up ̄y and son last week's homework) (a) Test H0: μ = 58,766. Use α = 0.05.
(b) Repeat, but now test H0: μ = 65,000. Again, use α = 0.10
(c) Finally repeat (b) except use α = 0.01.
(d) What happened as you went from b to c (explain!).
Please only answer the question in bold! Thank you!
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