Answer :

The mean track length for this rock specimen is between 10.463 and 13.537.

What is Confidence Interval?

This refers to the probability that a population parameter will fall between two set values.

We were told that there was 99% confidence interval for the mean track length for rock specimen. It can then be calculated using the formula:

M± (t×s/√N)

where

M = average track length = 12 μm

t = two tailed t-score in 99% confidence interval = 2.977

s = standard deviation =2 μm

N = total number of tracks = 15

We can substitute the parameters into the formula

12± (2.977× 2/√15) = 12±1.537

The mean track length for this rock specimen is between 10.463 and 13.537.

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