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Use the above picture to anwer these questions. If we count off 2.5% of the dots in the LEFT tail, above what number on the number line will that dot be located? If we count off 2.5% of the dots in the RIGHT tail, above what number on the number line will that dot be located? Using the 95% Rule, estimate the standard error. Round your answer to four decimal places as necessary. (Hint: It is NOT the standard deviation given in the picture. That represents the standard deviation of just the dots in the picture. The standard error would be the standard deviation of the dots in the picture if it included every possible bootstrap sample. But that picture would contain 10,000,000,000 dots

Use the above picture to anwer these questions. If we count off 2.5% of the dots in the LEFT tail, above what number on the number line will that dot be located? If we count off 2.5% of the dots in the RIGHT tail, above what number on the number line will that dot be located? Using the 95% Rule, estimate the standard error. Round your answer to four decimal places as necessary. (Hint: It is NOT the standard deviation given in the picture. That represents the standard deviation of just the dots in the picture. The standard error would be the standard deviation of the dots in the picture if it included every possible bootstrap sample. But that picture would contain 10,000,000,000 dots

MATLAB: An Introduction with Applications
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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Use the above picture to anwer these questions. If we count off 2.5% of the dots in the LEFT tail, above what number on the number line will that dot be located? If we count off 2.5% of the dots in the RIGHT tail, above what number on the number line will that dot be located? Using the 95% Rule, estimate the standard error. Round your answer to four decimal places as necessary. (Hint: It is NOT the standard deviation given in the picture. That represents the standard deviation of just the dots in the picture. The standard error would be the standard deviation of the dots in the picture if it included every possible bootstrap sample. But that picture would contain 10,000,000,000 dots
### StatKey Confidence Interval for a Mean #### Original Sample - **n = 10** - **Mean = 80** - **Median = 80** - **Standard Deviation = 14.142** The diagram on the left shows a box plot representing the distribution of the original sample. The data points appear between 50 and 90, with a median marked at 80. #### Bootstrap Sample - **n = 10** - **Mean = 87** - **Median = 83** - **Standard Deviation = 10.593** The box plot in the middle represents the bootstrap sample. It shows data points from about 55 to 95, with the median marked at 83. #### Bootstrap Dotplot - **Samples = 480** - **Mean = 80.144** - **Standard Error = 4.105** A dot plot visually illustrates the distribution of 480 bootstrap samples providing a confidence interval for the mean. The distribution is relatively centered around 80. The graph allows users to visualize variability and uncertainty in the mean estimate. Menu options below the plot allow users to select left tail, two-tail, or right tail confidence intervals for further analysis. This interactive visualization effectively illustrates concepts of sampling distribution and confidence intervals.
Transcribed Image Text:### StatKey Confidence Interval for a Mean #### Original Sample - **n = 10** - **Mean = 80** - **Median = 80** - **Standard Deviation = 14.142** The diagram on the left shows a box plot representing the distribution of the original sample. The data points appear between 50 and 90, with a median marked at 80. #### Bootstrap Sample - **n = 10** - **Mean = 87** - **Median = 83** - **Standard Deviation = 10.593** The box plot in the middle represents the bootstrap sample. It shows data points from about 55 to 95, with the median marked at 83. #### Bootstrap Dotplot - **Samples = 480** - **Mean = 80.144** - **Standard Error = 4.105** A dot plot visually illustrates the distribution of 480 bootstrap samples providing a confidence interval for the mean. The distribution is relatively centered around 80. The graph allows users to visualize variability and uncertainty in the mean estimate. Menu options below the plot allow users to select left tail, two-tail, or right tail confidence intervals for further analysis. This interactive visualization effectively illustrates concepts of sampling distribution and confidence intervals.
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