A standard method for the determination of glucose in serum is reported to have a standard deviation of 0.37 mg/dL. If s = 0.37 is a good estimate of o, how many replicate determinations should be made in order for the mean for the analysis of a sample to be within (This problem requires values in your textbook's specific appendices, which you can access through the OWLv2 MindTap Reader. You should not use the OWLV2 References' Tables to answer this question as the values will not match.) Remember that you always need to round your final answer up to a whole number of replicates. a. 0.3 mg/dL of the true mean 99% of the time? b. 0.3 mg/dL of the true mean 95% of the time? c. 0.2 mg/dL of the true mean 90% of the time?
A standard method for the determination of glucose in serum is reported to have a standard deviation of 0.37 mg/dL. If s = 0.37 is a good estimate of o, how many replicate determinations should be made in order for the mean for the analysis of a sample to be within (This problem requires values in your textbook's specific appendices, which you can access through the OWLv2 MindTap Reader. You should not use the OWLV2 References' Tables to answer this question as the values will not match.) Remember that you always need to round your final answer up to a whole number of replicates. a. 0.3 mg/dL of the true mean 99% of the time? b. 0.3 mg/dL of the true mean 95% of the time? c. 0.2 mg/dL of the true mean 90% of the time?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:**Table 7-1: Confidence Levels for Various Values of \( z \)**
This table displays the z-values corresponding to different confidence levels, which are used in statistical analysis to determine the confidence interval of a data set.
| Confidence Level, % | \( z \) |
|---------------------|----------|
| 50 | 0.67 |
| 68 | 1.00 |
| 80 | 1.28 |
| 90 | 1.64 |
| 95 | 1.96 |
| 95.4 | 2.00 |
| 99 | 2.58 |
| 99.7 | 3.00 |
| 99.9 | 3.29 |
**Explanation:**
- **Confidence Level, %**: Indicates the percentage of certainty or "confidence" that the true parameter lies within the confidence interval. As the confidence level increases, the interval becomes broader.
- **\( z \) Value**: Represents the number of standard deviations a data point is from the mean, correlating to a certain confidence level under the standard normal (z) distribution.
This table is commonly used in hypothesis testing and estimation to help determine the margin of error for an estimate.
![**Problem Statement:**
A standard method for the determination of glucose in serum is reported to have a standard deviation of 0.37 mg/dL. If \( s = 0.37 \) is a good estimate of \( \sigma \), how many replicate determinations should be made in order for the mean for the analysis of a sample to be within:
(This problem requires values in your textbook's specific appendices, which you can access through the OWLv2 MindTap Reader. You should not use the OWLv2 References' Tables to answer this question as the values will not match.)
**Note:** Always round your final answer **up** to a whole number of replicates.
a. 0.3 mg/dL of the true mean 99% of the time?
\( N \approx \) [Input Box]
b. 0.3 mg/dL of the true mean 95% of the time?
\( N \approx \) [Input Box]
c. 0.2 mg/dL of the true mean 90% of the time?
\( N \approx \) [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bafa3d4-8362-4eaf-b0f1-0c492e72839c%2Fe1217afc-1e5a-4c9c-ac8a-32e2dd7efeb1%2F3wwmhsp_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A standard method for the determination of glucose in serum is reported to have a standard deviation of 0.37 mg/dL. If \( s = 0.37 \) is a good estimate of \( \sigma \), how many replicate determinations should be made in order for the mean for the analysis of a sample to be within:
(This problem requires values in your textbook's specific appendices, which you can access through the OWLv2 MindTap Reader. You should not use the OWLv2 References' Tables to answer this question as the values will not match.)
**Note:** Always round your final answer **up** to a whole number of replicates.
a. 0.3 mg/dL of the true mean 99% of the time?
\( N \approx \) [Input Box]
b. 0.3 mg/dL of the true mean 95% of the time?
\( N \approx \) [Input Box]
c. 0.2 mg/dL of the true mean 90% of the time?
\( N \approx \) [Input Box]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman