The distance between to objects is experimentally measured

Milton Robertson

Milton Robertson

Answered question

2022-04-01

The distance between to objects is experimentally measured by an ultrasonic sensor. The sensor takes 500 measurements. The mean and standard deviation of these measurements are 0.567 m and 0.00365 m respectively. What is the 95% confidence interval (with appropriate precision/decimal places) for the measured distance?

Answer & Explanation

clarkchica44klt

clarkchica44klt

Beginner2022-04-02Added 17 answers

From the given information,
Mean=0.567
Standard deviation=0.00365
Number of measurements=500
Confidence level is 95%.
The 95% confidence interval for the measured distance is,
Mean ± uncertaininty = Mean ± 2SE
=0.567±(20.00365500)
=0.567±0.000163
=(0.566837, 0.567163)

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