Question

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..

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.