[Statistics] measuring values against known value

In summary, to check the accuracy of a balance, a standard gram weight of known weight is used. This weight is weighed three times, yielding values of a, b, and c. The 95% confidence limit for the mean can be calculated using general statistics and mean equations, specifically the one sample t test, with 2 degrees of freedom. This yields a confidence limit of approximately 0.95.
  • #1
Chickenpoxpie
8
0

Homework Statement


You use a standard gram weight of known weight (x) to check the accuracy of a balance. For one balance, this standard is weighed 3 times yielding the following values; a, b, and c. Calculate the 95% confidence limit for the mean


Homework Equations


general statistics and mean equations
ts/n^1/2

The Attempt at a Solution


I am confused how to do this problem because of the known value. At first I did the problem ignoring the known value and going through all the motions (figuring the mean, standard dev, and then plugging into ts/n^1/2 for 2 degrees of freedom) but how do things change because of the known weight and "testing for the accuracy of the balance"?
 
Physics news on Phys.org
  • #2
Nevermind y'all, was a silly mistake. I can easily do a one sample t test
 

Related to [Statistics] measuring values against known value

1. How is the accuracy of a measurement determined?

The accuracy of a measurement is determined by comparing the measured value to a known value. The difference between the two values is known as the measurement error.

2. What is the purpose of measuring values against a known value?

The purpose of measuring values against a known value is to determine the accuracy and precision of the measurement. It allows for the identification of any errors or discrepancies in the measurement process.

3. What is the difference between accuracy and precision?

Accuracy refers to how close a measured value is to a known or accepted value, while precision refers to the consistency of repeated measurements. A measurement can be precise without being accurate if the values are consistently incorrect.

4. How does the standard deviation affect the measurement of values against a known value?

The standard deviation is a measure of the spread of data around the mean. A smaller standard deviation indicates a more precise measurement, while a larger standard deviation indicates a less precise measurement.

5. How can you minimize measurement errors when measuring values against a known value?

To minimize measurement errors, it is important to use precise and accurate measurement tools, follow proper measurement techniques, and take multiple measurements to ensure consistency. It is also helpful to have a thorough understanding of the measurement process and any potential sources of error.

Similar threads

Understanding the meaning of "expected fraction" (Statistics)
    • Calculus and Beyond Homework Help
Replies
4
Views
1K
Solve the given problem that involves Test of Hypothesis
    • Calculus and Beyond Homework Help
Replies
3
Views
811
I What is the Uncertainty in the Total Weight of a Collection of Similar Items?
    • Other Physics Topics
Replies
12
Views
1K
Confusion between z and t values
    • Calculus and Beyond Homework Help
Replies
5
Views
2K
Hypothesis Testing: Comparing Birth Weights of Chinese and Caucasian Babies
    • Calculus and Beyond Homework Help
Replies
6
Views
4K
Standard deviation change problem
    • Calculus and Beyond Homework Help
Replies
24
Views
2K
I Is thermal noise a statistical uncertainty?
    • Set Theory, Logic, Probability, Statistics
Replies
1
Views
1K
Hypothesis testing, P-value, β-error, sample size for β<=0.1
    • Calculus and Beyond Homework Help
Replies
4
Views
2K
Calculations using Standard Deviation and Mean
    • Calculus and Beyond Homework Help
Replies
2
Views
2K
I What is the correct definition of measurement uncertainty?
    • Set Theory, Logic, Probability, Statistics
Replies
21
Views
2K

Hot Threads

Recent Insights

Back
Top