A study was performed on green sea turtles inhabiting a certain area. Time-depth recorders were deployed on 6 of the 76 captured turtles. The time-depth recorders allowed the environmentalists to track the movement of the sea turtles in the area. These 6 turtles had a mean shell length of 51.3 cm and a standard deviation of 6.6 cm. Complete parts a and b below. 1. Use the information on the 6 tracked turtles to estimate, with 99% confidence, the true mean shell length of all green sea turtles in the area. (Round to one decimal place as needed.) Interpret the result.
Choose the correct answer below.
A. One can be 99% confident the true mean shell length lies at the mean of the above interval.
B. One can be 99% confident the true mean shell length is one of the end points of the above interval.
C. One can be 99% confident the true mean shell length lies within the above interval.
D. There is a 99% probability that the true mean shell length is the mean of the interval.
What assumption about the distribution of shell lengths must be true in order for the confidence interval, part a, to be valid?
A. The population has a relative frequency distribution that is approximately exponential.
B. The population has a relative frequency distribution that is approximately uniform.
C. The population has a relative frequency distribution that is approximately normal.
D. The population has a relative frequency distribution that is approximately binomial.
2. Is this assumption reasonably satisfied? Use the accompanying data for all 76 turtles to help answer this question. Choose the correct answer below.
A. No
B. Yes