Based on this sample data, a 95% confidence interval for the population mean is: <μ< The margin of error for this 95% confidence interval is Based on this sample data, a 99% confidence interval for the population mean is: <μ< The margin of error for this 99% confidence interval is
Based on this sample data, a 95% confidence interval for the population mean is: <μ< The margin of error for this 95% confidence interval is Based on this sample data, a 99% confidence interval for the population mean is: <μ< The margin of error for this 99% confidence interval is
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
![If you are given summary statistics for a sample and want to construct a confidence interval, this can be done through the Probability Calculator in Geogebra, or Stat>Basic Stats>1-sample Z in Minitab(web). For Minitab (web), see Tutorials in D2L. For Geogebra, follow the directions below: Open it and click the “Statistics” tab just above the graph.
For a confidence interval for a population mean, with unknown σ, click the drop-down menu near the top (default is “Z Test of a Mean”) and choose “T Estimate of a Mean.”
Enter the confidence level (in decimal form), sample mean, sample standard deviation, and sample size. We’ll use a sample with \(\bar{x} = 65.17\), \(s = 3.654\), \(n = 26\).
---
Based on this sample data, a 95% confidence interval for the population mean is:
\[
\text{[ ]} < \mu < \text{[ ]}.
\]
The margin of error for this 95% confidence interval is \(\text{[ ]}\).
---
Based on this sample data, a 99% confidence interval for the population mean is:
\[
\text{[ ]} < \mu < \text{[ ]}.
\]
The margin of error for this 99% confidence interval is \(\text{[ ]}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b02ee06-d3da-434d-a278-c5c4499b77b7%2Ff7370e6f-bff7-49fa-9f1f-31b9dd2dc22e%2Fmrc240f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If you are given summary statistics for a sample and want to construct a confidence interval, this can be done through the Probability Calculator in Geogebra, or Stat>Basic Stats>1-sample Z in Minitab(web). For Minitab (web), see Tutorials in D2L. For Geogebra, follow the directions below: Open it and click the “Statistics” tab just above the graph.
For a confidence interval for a population mean, with unknown σ, click the drop-down menu near the top (default is “Z Test of a Mean”) and choose “T Estimate of a Mean.”
Enter the confidence level (in decimal form), sample mean, sample standard deviation, and sample size. We’ll use a sample with \(\bar{x} = 65.17\), \(s = 3.654\), \(n = 26\).
---
Based on this sample data, a 95% confidence interval for the population mean is:
\[
\text{[ ]} < \mu < \text{[ ]}.
\]
The margin of error for this 95% confidence interval is \(\text{[ ]}\).
---
Based on this sample data, a 99% confidence interval for the population mean is:
\[
\text{[ ]} < \mu < \text{[ ]}.
\]
The margin of error for this 99% confidence interval is \(\text{[ ]}\).
Expert Solution
Step 1
It is given that
Sample mean, X̄ = 65.17
Sample standard deviation, s = 3.654
Sample size, n = 26
Step by step
Solved in 3 steps
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