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23 April, 10:14

Fission tracks are trails found in uranium-bearing minerals, left by fragments released during fission events. The article "Yo-yo Tectonics of the Nigde Massif During Wrenching in Central Anatolia" (D. Whitney, P. Umhoefer, et al., Turkish Journal of Earth Sciences, 2008:209-217) reports that fifteen tracks on one rock specimen had an average track length of 13 µm with a standard deviation of 2 µm.

Assuming this to be a random sample from an approximately normal population, find a 99% confidence interval for the mean track length for this rock specimen.

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  1. 23 April, 10:19
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    Answer: = (11.67, 14.33) µm

    Therefore at 99% confidence interval (a, b) = (11.67, 14.33) µm

    Step-by-step explanation:

    Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

    The confidence interval of a statistical data can be written as.

    x+/-zr/√n

    Given that;

    Mean track length x = 13 µm

    Standard deviation r = 2 µm

    Number of samples n = 15

    Confidence interval = 99%

    z (at 99% confidence) = 2.58

    Substituting the values we have;

    13+/-2.58 (2/√15)

    13+/-2.58 (0.516397779494)

    13+/-1.33

    = (11.67, 14.33) µm

    Therefore at 99% confidence interval (a, b) = (11.67, 14.33) µm
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