Fossils The data in the table are thediameters and heights

Chapter 10, Problem 79

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Fossils The data in the table are thediameters and heights of 10 fossil specimens ofa species of small shellfish, Rotularia (Annelida) fallax,that were unearthed in a mapping expedition nearthe Antarctic Peninsula.14 The table gives an identifi-cation symbol for the fossil specimen, the fossilsdiameter and height in millimeters, and the ratio ofdiameter to height.Specimen Diameter Height D/HOSU 36651 185 78 2.37OSU 36652 194 65 2.98OSU 36653 173 77 2.25OSU 36654 200 76 2.63OSU 36655 179 72 2.49OSU 36656 213 76 2.80OSU 36657 134 75 1.79OSU 36658 191 77 2.48OSU 36659 177 69 2.57OSU 36660 199 65 3.06x: 184.5 73 2.54s: 21.5 5 .37a. Find a 95% confidence interval for the mean diameterof the species.b. Find a 95% confidence interval for the mean heightof the species.c. Find a 95% confidence interval for the mean ratioof diameter to height. d. Compare the three intervals constructed in parts a,b, and c. Is the average of the ratios the same asthe ratio of the average diameter to average height?

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