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: = 58,765.86, and s = 5,689.68

a) Construct a 95% CI for these data.

b) Construct a 98% 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).