Basic Physics I Laboratories Lab 1: Introduction and Elementary Comparisons In t

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Basic Physics I Laboratories Lab 1: Introduction and Elementary Comparisons In the Basic Physics I laboratories you will make measurements and compare your meas the predictions of different theories or to measurements made by other how do when there is some uncertainty in people. One question that arises is you compare the result of a measurement to the prediction of a theory? This is often complicated your measurements. (We will usually assume this uncertainty is due to in your measurements.) The uncertainty due to random errors in your measurements is y represented by the standard deviation of the quantity measured. If this is the case we usually ask usuall whether the measured quantity is within one or two standard deviations of the theoretical prediction. If the measured quantity is within one standard deviation of the prediction, then it is quite possible that the difference is due to random errors in the measured quantity. If the measured quantity is more than two standard deviations from the prediction, then the difference is probably not due to random errors in the measured quantity. If it is between one and two standard deviations from the prediction, then it is hard to say whether or not the difference might be due to random errors in the measured quantity. In this course we usually simplify this and say that if the measured quantity is within two standard deviations of the prediction, then the difference could be due to random errors in our measurements. If it is more than two standard deviations away, we say that the difference is probably not due to random errors, but due to something else, typically systematic errors in measurement. Question 1 If we measure the acceleration of a box sliding down a frictionless incline to be 3.36mls with a standard deviation of 0.20m/s and the prediction is that it will be 3.16m/s, is it likely that the difference could be due to random fluctuations in our measurements? If we measure the acceleration of a box sliding down a frictionless incline to be 3.41m/s with a standard deviation of 0.10m/s and the prediction is that it will be 3.16m/s', is it probable that the difference is be due to random fluctuations in our measurements? You will be asked to make such comparisons in the labs you will be doing this semester. Failure to do so will affect your grade. Yes or no are usually not good answers. You need a sentence to Standard Deviation and Standard Deviation Average (of the Mean) In statistics, the standard deviation (SD) (represented by the Greek letter sigma, a) is a measure that is used to quantify the amount of variation or dispersion of a set of data values. A low standard deviation indicates that the data points tend to be very close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values. If we have random values from a finite data points of xi, x2,.... Xa, the mean value is

Explanation / Answer

In question1 first : The answer is yes ,because acceleration is 3.36 m/s^2 with standard deviation 0.20 m/s^2 which means accelertion can be anything between 3.16 to 3.56 m/s^2.

In case of question 2 : The answer is no because the difference is not due to standard deviation it could be due to other factor.

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