A11.) You are checking the accuracy of a volumetric flask marked 10.00 mL. To calculate the volume of water contained in the flask, you first measure the mass of the empty flask and the mass of the flask filled with water and take the difference. Then, you corrected for the buoyancy factor and divide by the density of the water. The result of 8 such measurements is given in the table. The standard deviation for the data set is 0.0219. Measurement Volume (mL) 1 10.052 10.050 3 10.022 4 10.056 10.025 10.005 7 10.064 8 10.015 a.). Calculate the mean and the 95% confidence interval for these measurements. Report the value for the mean with the correct number of significant figures based on 95% confidence interval using the "real rules" for significant figures. b.). Can you say with 95% confidence that the nominal value of 10.00 mL can be the true volume of the flask?

A11.) You are checking the accuracy of a volumetric flask marked 10.00 mL. To calculate the volume of water contained in the flask, you first measure the mass of the empty flask and the mass of the flask filled with water and take the difference. Then, you corrected for the buoyancy factor and divide by the density of the water. The result of 8 such measurements is given in the table. The standard deviation for the data set is 0.0219. Measurement Volume (mL) 1 10.052 10.050 3 10.022 4 10.056 10.025 10.005 7 10.064 8 10.015 a.). Calculate the mean and the 95% confidence interval for these measurements. Report the value for the mean with the correct number of significant figures based on 95% confidence interval using the "real rules" for significant figures. b.). Can you say with 95% confidence that the nominal value of 10.00 mL can be the true volume of the flask?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

A11.) You are checking the accuracy of a volumetric flask marked 10.00 mL. To calculate the volume of
water contained in the flask, you first measure the mass of the empty flask and the mass of the flask
filled with water and take the difference. Then, you corrected for the buoyancy factor and divide by
the density of the water. The result of 8 such measurements is given in the table. The standard
deviation for the data set is 0.0219.
Measurement Volume (mL)
1
10.052
10.050
3
10.022
4
10.056
10.025
10.005
7
10.064
8
10.015
a.).
Calculate the mean and the 95% confidence interval for these measurements. Report
the value for the mean with the correct number of significant figures based on 95% confidence
interval using the "real rules" for significant figures.
b.).
Can you say with 95% confidence that the nominal value of 10.00 mL can be the true
volume of the flask?

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