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Do random errors contribute to % error and/or standard deviation? Why?
(Please correct answer)
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- The length and width of a rectangular room are measured to be 3.9550.005m and 10500.005m . Calculate the area of the room and its uncertainty in square meteThis is the samples....5.8, 5.2, 5.6, , 4.1, 4.2 and 4.6Find the mean and variance of the different samplesFind the average, variance and the standard deviation for the following: 1.23, 1.24, 1.18, 1.19, 1.26, 1.21, 1.22, 1.25, 1.20, 1.27, 1.28
- You repeat a measurement that contains random error many times, construct a histogram of your measurements and determine that the FWHM of the histogram is equal to 1.9. What is the uncertainty in one measurement, δn, equal to?Plot a graph of sin(θi) versus sin(θr) in an application such as Excel. Execute a linear regression fit and display the fit equation as well as the correlation coefficient.Given the most probable value of a quantity to be 35.86. If the Error Ratio is 1:163, What is the probable error? Round off your answer to two decimal places.
- If the standard deviation of a sample is given to be 62.5 then find its variance.A person (he/she) measures heart rate by counting the number of beats in 30 sec.-If 45 ± 2 beats are counted (in exactly 30sec), find the percent uncertainty in the measurement of heartbeats per minute? *If 45 ± 2 beats are counted in 30.0 ± 0.5 sec, what is the minimum of the range of values one expects for the heart rate in beats per minute? *If 45 ± 2 beats are counted in 30.0 ± 0.5 sec, what is maximum heart rate in beats per minute?Select one entry for each blank from the corresponding four choices. 1. ______________ errors may be avoided by ensuring that the tools that are used in the experiment are properly calibrated. 2. ______________ errors can be minimized by conducting many trials. a. 1. systematic 2.random b. 1. random 2.systematic c. 1. random 2.personal d. 1. standard 2. systematic
- A sample with a mean of M=50 and a standard deviation of s=12 is being transformed into z-scores. After the transformation, what is the standard deviation for the sample of z-scores?Imagine an experiment where you measure the width, length and height of a box, in centimeters. Additionally, you estimate an uncertainty (error) in each measurement. The goal is to calculate the box's volume and the propagated error in the volume. Suppose you measure the box's width, W = 17 cm, length, L = 30 cm and height, H = 11 cm. These values have errors (in centimeters) of W = 0.2, L = 0.2 and H = 0.3. Calculate the propagated error in the volume. Enter a whole number (an integer) of cubic centimeters.The coefficient of static friction between a block and a ramp is given by μ = tan(θ) where θ is the angle of the ramp measured in degrees. If θ = 35.1 ± 0.5°, calculate the uncertainty of the coefficient. Please include all steps and the formula used
