A measurement of the acceleration of gravity g is made and the data set is used...
A measurement of the acceleration of gravity g is made
and the data set is used to calculate a mean and a standard
deviation. The mean is 10.00 m/s2, and the standard
deviation is 0.67 m/s2.
1. What range of values for g would
include about 70% of the data set? What range would include about
95% of the data set?
70% Range: to m/s2.
95% Range: to m/s2.
If you have two sets of measurements, and know the mean and standard deviation of each, you can use these numbers as criteria for whether the two measurements "agree" with each other by determining if the mean of one measurement lies within one standard deviation of the other measurement.
Homework Answers
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A measurement of the acceleration of gravity g is made
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51 measured data points have a sample mean of 56.04 and a standard deviation of 3.4. Estimate the range of values for which you would expect 95% of all future measurements to fall (or for a single future measurement to fall within 95% probability). Find a, where the data is expected to fall ±a about the sample mean
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In an experiment to measure the acceleration due to gravity g, two independent equally reliable measurements gave 9.67 m/s2 and 9.88 m/s2. Determine (i) the percent difference of the measurements (ii) the percent error of their mean [Take the theoretical value of g to be 9.81 m/s]
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Please use detailed explanation/solution for problem 43* A student measures g, the acceleration of gravity, five...
Please use detailed explanation/solution for problem
43* A student measures g, the acceleration of gravity, five times, with the results ll n mis 9.9, 9.6, 9.5, 9.7, 9.8. 4.16. (a) Based on the five measurements of g reported in Problem 4.2, what should be the student's best estimate forg and its uncertainty? (b) How well does her result agree with the accepted value of 9.8 m/s2
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Find a 95% confidence interval for the mean long-term measurement for those with short-term measurements of...
Find a 95% confidence interval for the mean long-term
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Find a 95% prediction interval for the long-term measurement for
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Please use detailed explanation/solution for problem
43* A student measures g, the acceleration of gravity, five times, with the results ll n mis 9.9, 9.6, 9.5, 9.7, 9.8. 4.16. (a) Based on the five measurements of g reported in Problem 4.2, what should be the student's best estimate forg and its uncertainty? (b) How well does her result agree with the accepted value of 9.8 m/s2
Find a 95% confidence interval for the mean long-term
measurement for those with short-term measurements of 1.2. Round
the answers to three decimal places.
The 95% confidence interval is ( , ).
Find a 95% prediction interval for the long-term measurement for
a particular individual whose short term measurement is 1.2. Round
the answers to three decimal places.
The 95% prediction interval is ( , ).
Required information Cardiologists use the short-range scaling exponent 1, which measures the randomness of heart rate patterns, as...
please solve only for the set 1.
2. The thrust of a jet engine conditions and a sample of data points was collected. The process was repeated during 3 different data collection sessions. The resulting 3 sets of data are shown in the provided table a) For each data set separately, detemine the sample deviation, S; standard deviation of the mean, SF = s/VN and number of degrees of freedom b) For the data set separately, if one additional measurement...
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