MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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To determine the viscosity of an engine oil, a ball is dropped into a calibrated tube filled with this oil,
and the time taken for the ball to travel a determined distance is measured. After having carried out 26
tests, an average time of 22.85 seconds and a standard deviation of 0.40 seconds were calculated.
a) From these results, the laboratory states that the average time to cover the distance lies
between 22.6868 and 23.0132 seconds. What is the confidence level associated with this
statement?
Answer:
(1 – a) =
b) Find the 90% confidence interval to estimate the average time it takes for the ball to travel the
distance.
Answer:
= -n
= +n
c) How many additional trials must be carried out if we want to estimate the average time to cover
the distance with the same margin of error as in a) but with a confidence level of 99%?
Answer:
n >
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Transcribed Image Text:To determine the viscosity of an engine oil, a ball is dropped into a calibrated tube filled with this oil, and the time taken for the ball to travel a determined distance is measured. After having carried out 26 tests, an average time of 22.85 seconds and a standard deviation of 0.40 seconds were calculated. a) From these results, the laboratory states that the average time to cover the distance lies between 22.6868 and 23.0132 seconds. What is the confidence level associated with this statement? Answer: (1 – a) = b) Find the 90% confidence interval to estimate the average time it takes for the ball to travel the distance. Answer: = -n = +n c) How many additional trials must be carried out if we want to estimate the average time to cover the distance with the same margin of error as in a) but with a confidence level of 99%? Answer: n >
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