33.92 48.96 58.39 59.94 30.37 49.41 57.99 64.66 32.54 49.85 57.93 60.44 31.47 54.23 56.36 69.18 36.47 51.95 57.04 64.76 35.58 51.08 57.44 65.47 36.26 54.48 59.25 65.05 35.43 52.58 64.96 67.97 36.05 53.24 61.68 65.41 39.35 54.24 60.03 67.52 44.47 50.29 62.09 68.52 42.89 53.84 63.66 66.69 42.24 51.48 60.37 65.47 42.57 54.38 65.09 70.57 49.77 54.69 60.43 70.79 45.92 55.21 62.42 70.75 48.86 57.81 63.36 71.79 47.62 56 16 62 84 74 61
33.92 48.96 58.39 59.94 30.37 49.41 57.99 64.66 32.54 49.85 57.93 60.44 31.47 54.23 56.36 69.18 36.47 51.95 57.04 64.76 35.58 51.08 57.44 65.47 36.26 54.48 59.25 65.05 35.43 52.58 64.96 67.97 36.05 53.24 61.68 65.41 39.35 54.24 60.03 67.52 44.47 50.29 62.09 68.52 42.89 53.84 63.66 66.69 42.24 51.48 60.37 65.47 42.57 54.38 65.09 70.57 49.77 54.69 60.43 70.79 45.92 55.21 62.42 70.75 48.86 57.81 63.36 71.79 47.62 56 16 62 84 74 61
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Inverse Normal Distribution
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Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
Transcribed Image Text:33.92
48.96
58.39
59.94
30.37
49.41
57.99
64.66
32.54
49.85
57.93
60.44
31.47
54.23
56.36
69.18
36.47
51.95
57.04
64.76
35.58
51.08
57.44
65.47
36.26
54.48
59.25
65.05
35.43
52.58
64.96
67.97
36.05
53.24
61.68
65.41
39.35
54.24
60.03
67.52
44.47
50.29
62.09
68.52
42.89
53.84
63.66
66.69
42.24
51.48
60.37
65.47
42.57
54.38
65.09
70.57
49.77
54.69
60.43
70.79
45.92
55.21
62.42
70.75
48.86
57.81
63.36
71.79
47.62
56.16
62.84
74.61
45.89
55.46
64.52
81.33
Transcribed Image Text: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 52.3 cm and a standard deviation of 6.4 cm. Complete parts a and b below.
Click the icon to view the shell length data of all 76 turtles.
a. 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. There is a 99% probability that the true mean shell length is the mean of the 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. One can be 99% confident the true mean shell length lies at the mean of the above interval.
b. 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 normal.
C. The population has a relative frequency distribution that is approximately uniform.
D. The population has a relative frequency distribution that is approximately binomial.
Is this assumption reasonably satisfied? Use the accompanying data for all 76 turtles to help answer this question. Choose the correct answer below.
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