[10 points] Time-depth recorders were deployed on 6 green sea turtles inhabiting the Grand Cayman South Sound lagoon. These 6 turtles had a mean shell length of 52.9 cm with a standard deviation of 6.8 cm. We are interested in making an inference about the population mean length ofturtle shell length. a. Compute a point estimate. b. Estimate, with 99% confidence, this population mean. c. What assumption about the distribution of shell lengths must be true for the confidence interval you calculated to be valid