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121.4 SD =| 2.372 Lower limit = Upper limit =

121.4 SD =| 2.372 Lower limit = Upper limit =

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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The mean and standard deviation filled in are correct. I cannot seem to get the limits correct. ?

To calculate the mean WISC score (\(\bar{x}\)) for 40 students, follow these steps: 1. **Compute the Mean:** Determine the average score from the data set of WISC scores for the students. 2. **Calculate the Standard Deviation (SD):** Find the standard deviation of the sample mean, assuming the district's standard deviation of WISC scores mirrors that of the overall population. 3. **Determine Confidence Interval:** Using a 90% z-confidence interval, calculate both the lower and upper limits for \(\mu\), the mean score for all students in the school district enrolled in gifted and talented programs. **Instructions:** - Report \(\bar{x}\) and the confidence interval limits to one decimal place. - Report the standard deviation to at least three decimal places to minimize rounding errors during calculations. No graphs or diagrams are included in this instruction.
Transcribed Image Text:To calculate the mean WISC score (\(\bar{x}\)) for 40 students, follow these steps: 1. **Compute the Mean:** Determine the average score from the data set of WISC scores for the students. 2. **Calculate the Standard Deviation (SD):** Find the standard deviation of the sample mean, assuming the district's standard deviation of WISC scores mirrors that of the overall population. 3. **Determine Confidence Interval:** Using a 90% z-confidence interval, calculate both the lower and upper limits for \(\mu\), the mean score for all students in the school district enrolled in gifted and talented programs. **Instructions:** - Report \(\bar{x}\) and the confidence interval limits to one decimal place. - Report the standard deviation to at least three decimal places to minimize rounding errors during calculations. No graphs or diagrams are included in this instruction.
**Calculation of Confidence Limits** To compute the confidence limits accurately, ensure that all calculations are performed with at least three decimal places to avoid rounding errors. Below are the values and fields required for these calculations: - **Sample Mean (\(\bar{x}\))**: 121.4 - **Standard Deviation (SD)**: 2.372 To calculate the lower and upper confidence limits, you will need to apply the appropriate statistical formulas based on the context (e.g., using the t-distribution or z-distribution depending on sample size and known variance). Enter your calculated results in the fields provided: - **Lower limit**: [Calculated Value] - **Upper limit**: [Calculated Value] The fields are designated for input, but remember to calculate these by considering the confidence level (e.g., 95% or 99%) as required by your statistical analysis. **Note**: This section is part of a statistical computation exercise typically found in educational settings to help students understand the calculation and interpretation of confidence intervals.
Transcribed Image Text:**Calculation of Confidence Limits** To compute the confidence limits accurately, ensure that all calculations are performed with at least three decimal places to avoid rounding errors. Below are the values and fields required for these calculations: - **Sample Mean (\(\bar{x}\))**: 121.4 - **Standard Deviation (SD)**: 2.372 To calculate the lower and upper confidence limits, you will need to apply the appropriate statistical formulas based on the context (e.g., using the t-distribution or z-distribution depending on sample size and known variance). Enter your calculated results in the fields provided: - **Lower limit**: [Calculated Value] - **Upper limit**: [Calculated Value] The fields are designated for input, but remember to calculate these by considering the confidence level (e.g., 95% or 99%) as required by your statistical analysis. **Note**: This section is part of a statistical computation exercise typically found in educational settings to help students understand the calculation and interpretation of confidence intervals.
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