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
