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 scientists to track the movement of turtles in the area. The 6 turtles had a mean shel length of 51.2 and std dev of 6.7..

Question

what is the true mean shell length of all green sea turtles in the area? Use the info on the 6 tracked turtles to estimate with 99% confidence.

Answer 1

also this is provided:

33.98
30.43
32.51
31.37
36.56
35.36
36.08
35.47
35.84
39.61
44.17
42.64
42.27
42.63
49.76
46.02
48.52
47.94
45.65
48.96
49.56
49.78
54.16
51.97
50.91
54.34
52.51
53.07
54.21
50.34
53.53
51.13
54.33
54.74
55.02
57.57
56.16
55.55
58.24
57.78
57.52
56.43
56.79
57.69
58.99
65.06
61.99
60.18
62.49
63.74
60.75
64.68
60.37
62.72
63.12
63.17
64.75
60.31
64.87
60.05
68.81
64.98
66.05
65.06
68.41
65.03
67.57
68.42
67.29
65.86
70.36
70.95
70.44
71.96
73.99
81.45

Answer 2

What is the list of numbers measuring? Depth?

For shell length,

99% = sample mean ± Z (SEm)

SEm = SD/√n

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (±.005) and its Z score.