What t* critical value would you use for a confidence interval for the population mean in each of the following situations? Use 3 decimal places. (a) For a 95% confidence interval based on n = 13 observations: X 2.160 (b) For a 99% confidence interval from an SRS of 23 observations: X 2.807 (c) For an 80% confidence interval from a sample of size 6: X 1.440
What t* critical value would you use for a confidence interval for the population mean in each of the following situations? Use 3 decimal places. (a) For a 95% confidence interval based on n = 13 observations: X 2.160 (b) For a 99% confidence interval from an SRS of 23 observations: X 2.807 (c) For an 80% confidence interval from a sample of size 6: X 1.440
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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![### Critical Values for Confidence Intervals
Determine the appropriate \( t^* \) critical value for a confidence interval of the population mean in these scenarios. Use three decimal places.
**(a)** For a 95% confidence interval with \( n = 13 \) observations:
**Value:** Incorrect (2.160)
**(b)** For a 99% confidence interval from a simple random sample (SRS) of 23 observations:
**Value:** Incorrect (2.807)
**(c)** For an 80% confidence interval from a sample size of 6:
**Value:** Incorrect (1.440)
---
### Feedback
**General Feedback**
For a confidence level \( C \), calculate \( \alpha = 1 - C \). Determine the \( t \)-value for \( 1 - \frac{\alpha}{2} \) percentile using the Excel formula:
\[ = \text{t.inv}(\text{probability}, \text{df}) \]
where \(\text{df} = n - 1\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29b25716-5eb6-4537-b644-b049114aff43%2F1866409c-f1fe-4fb5-be21-256b7e0a0f51%2F6c5q40t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Critical Values for Confidence Intervals
Determine the appropriate \( t^* \) critical value for a confidence interval of the population mean in these scenarios. Use three decimal places.
**(a)** For a 95% confidence interval with \( n = 13 \) observations:
**Value:** Incorrect (2.160)
**(b)** For a 99% confidence interval from a simple random sample (SRS) of 23 observations:
**Value:** Incorrect (2.807)
**(c)** For an 80% confidence interval from a sample size of 6:
**Value:** Incorrect (1.440)
---
### Feedback
**General Feedback**
For a confidence level \( C \), calculate \( \alpha = 1 - C \). Determine the \( t \)-value for \( 1 - \frac{\alpha}{2} \) percentile using the Excel formula:
\[ = \text{t.inv}(\text{probability}, \text{df}) \]
where \(\text{df} = n - 1\).
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