20 Shell lengths of sea turtles. The Aquatic Biology (Vol. 9, 2010) performed a study of green sea turtles inhabiting the Grand Cayman South Sound lagoon. The data on curved carapace (shell) length, measured in centimeters, for 76 captured turtles are displayed in the table and saved in the TURTLES file. Environmentalists want to estimate the true mean shell length of all green sea turtles in the lagoon.

a. Define the parameter of interest to the environmentalists.

b. Use the data in the TURTLES file to find a point estimate of the target parameter.

c. Compute a 95% confidence interval for the target parameter. Interpret the result.

d. Suppose a biologist claims that the mean shell length of all green sea turtles in the lagoon is 60 cm. Make an inference about the validity of this claim.

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33.96 30.37 32.57 31.50 36.46 35.54 36.16 35.32 35.99 39.55 44.33 42.73 42.15 42.43 49.96 46.04 48.76 47.78 45.81 49.05 49.65 49.71 54.29 52.01 51.15 54.42 52.62 53.27 54.07 50.40 53.69 51.30 54.29 54.58 55.11 565 56.35 55.68 58.40 58.06 57.79 56.54 57.03 57.64 59.27 64.79 61.96 60.08 62.34 63.84 60.61 64.91 60.35 62.63 63.33 63.00 64.55 60.03 64.75 60.24 69.01 65.07 65.77 65.30 68.24 65.28 67.54 68.49 66.98 65.67 70.26 70.94 70.52 72.01 74.34 81.63