The data in the table are the diameters and heights of 10 fossil specimens of a species of small shellfish, Rotularia (Annelida) fallax, that were unearthed in a mapping expedition near the Antarctic Peninsula. The table gives an identification symbol for the fossil specimen, the fossil's diameter and height in millimeters, and the ratio of diameter to height.

a. Find a 95% confidence interval for the mean diameter of the species.
b. Find a 95% confidence interval for the mean height of the species.
c. Find a 95% confidence interval for the mean ratio of diameter to height.
d. Compare the three intervals constructed in parts a, b, and c. Is the average of the ratios the same as the ratio of the average diameter to average height?

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Specimen Diameter Height DH OSU 3665 185 OSU 36652 94 OSU 36653 73 OSU 36654 200 OSU 36655 179 OSU 36656 213 OSU 36657 34 OSU 36658 191 OSU 36659 177 OSU 36660 199 78 2.37 65 2.98 77 2.25 76 2.63 72 2.49 76 280 75 1.79 77 2.48 69 2.57 65 3.06 73 2.54 5 37 2 184.5 21.5