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Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise?
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Titrator A obtains a mean value of 12-96% and a standard deviation of ...
Introduction:
In this question, we are comparing two titrators, A and B, based on their accuracy and precision in determining the percent purity of a sample. The true percent purity is given as 13.08%, and we have the mean values and standard deviations obtained by both titrators.
Accuracy:
Accuracy refers to how close the measured values are to the true value. In this case, the true percent purity is given as 13.08%. To assess accuracy, we compare the mean values obtained by both titrators with the true value.
Precision:
Precision refers to the consistency and reliability of the measured values. It is determined by the standard deviation, which measures the spread of the data. A smaller standard deviation indicates higher precision.
Analysis:
Let's compare the mean values obtained by both titrators with the true value of 13.08%.
Titrator A:
- Mean value: 12-96%
- True value: 13.08%
The mean value obtained by Titrator A is lower than the true value, indicating a negative bias. Therefore, Titrator A is less accurate compared to the true value.
Titrator B:
- Mean value: 13-12%
- True value: 13.08%
The mean value obtained by Titrator B is closer to the true value, indicating a smaller bias. Therefore, Titrator B is more accurate compared to the true value.
Now, let's compare the standard deviations obtained by both titrators.
Titrator A:
- Standard deviation: 0.05
Titrator B:
- Standard deviation: 0.08
The standard deviation of Titrator A is smaller than that of Titrator B, indicating higher precision. Therefore, Titrator A is more precise compared to Titrator B.
Conclusion:
Based on the analysis, we can conclude that Titrator A is less accurate but more precise compared to Titrator B. Titrator A consistently provides values that are lower than the true value but has a smaller spread of data. Titrator B, on the other hand, provides values that are closer to the true value but has a larger spread of data.
In this question, we are comparing two titrators, A and B, based on their accuracy and precision in determining the percent purity of a sample. The true percent purity is given as 13.08%, and we have the mean values and standard deviations obtained by both titrators.
Accuracy:
Accuracy refers to how close the measured values are to the true value. In this case, the true percent purity is given as 13.08%. To assess accuracy, we compare the mean values obtained by both titrators with the true value.
Precision:
Precision refers to the consistency and reliability of the measured values. It is determined by the standard deviation, which measures the spread of the data. A smaller standard deviation indicates higher precision.
Analysis:
Let's compare the mean values obtained by both titrators with the true value of 13.08%.
Titrator A:
- Mean value: 12-96%
- True value: 13.08%
The mean value obtained by Titrator A is lower than the true value, indicating a negative bias. Therefore, Titrator A is less accurate compared to the true value.
Titrator B:
- Mean value: 13-12%
- True value: 13.08%
The mean value obtained by Titrator B is closer to the true value, indicating a smaller bias. Therefore, Titrator B is more accurate compared to the true value.
Now, let's compare the standard deviations obtained by both titrators.
Titrator A:
- Standard deviation: 0.05
Titrator B:
- Standard deviation: 0.08
The standard deviation of Titrator A is smaller than that of Titrator B, indicating higher precision. Therefore, Titrator A is more precise compared to Titrator B.
Conclusion:
Based on the analysis, we can conclude that Titrator A is less accurate but more precise compared to Titrator B. Titrator A consistently provides values that are lower than the true value but has a smaller spread of data. Titrator B, on the other hand, provides values that are closer to the true value but has a larger spread of data.
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Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise?
Question Description
Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise?.
Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise?.
Solutions for Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise? in English & in Hindi are available as part of our courses for JEE.
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Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise?, a detailed solution for Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise? has been provided alongside types of Titrator A obtains a mean value of 12-96% and a standard deviation of 0.05 for the purity of a sample. Titrator B obtains corresponding values of 13-12% and 0.08. The true percent purity is 13.08. Compared to titrator B, titrator A is (1) less accurate but more precise (2) more accurate and more precise (3) less accurate and less precise (4) more accurate but less precise? theory, EduRev gives you an
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