For problems like these, we use something called a ceiling function, in which 
. If we do 
, we get that we do 
, which is 14 buses. We take the ceiling of the division because if we don't, we know that there are going to be extra kids left over that won't be able to seat on a bus. If we just rounded down to 13 buses, we would have been able to seat only 936 kids, a full 64 kids left over.
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Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M± where
- M is the average track length (12 μm) in the report
- t is the two tailed t-score in 99% confidence interval (2.977)
- s is the standard deviation of track lengths in the report (2 μm)
- N is the total number of tracks (15)
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12± =12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537