Fossils, continued Refer to Exercise 10.79 and data set EX1079. Suppose you want to...

Fossils, continued Refer to Exercise 10.79 and data set EX1079. Suppose you want to estimate the mean diameter of the fossil specimens correct to within 5 millimeters with probability equal to .95. How many fossils do you have to include in your sample?

Reference:

Fossils The data in the table are the diameters and heights of 10 fossil specimens ofa species of small shellfish, Rotularia (Annelida) fallax, that were unearthed in a mapping expedition near the Antarctic Peninsula.14 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?