### Educational Resource: Calculating Confidence Intervals using the t-Distribution**Topic: Confidence Intervals**---**Current Attempt in Progress****Instructions:**You are required to use the t-distribution to calculate a confidence interval for a mean (\(\mu\)) given specific sample results. Provide the best point estimate for \(\mu\), the margin of error, and the confidence interval. Assume the results are drawn from a random sample of a population that is approximately normally distributed.**Given Data:**- Sample Mean (\(\overline{x}\)): 90.3- Sample Standard Deviation (\(s\)): 34.2- Sample Size (\(n\)): 15Calculate a **99% confidence interval for \(\mu\)** using the sample results provided.**Steps:**1. **Determine the Point Estimate:** - The point estimate is typically the sample mean (\(\overline{x}\)).2. **Calculate the Margin of Error (E):** - The margin of error can be calculated using the formula: \[ E = t_{\alpha/2} \left( \frac{s}{\sqrt{n}} \right) \] where \(t_{\alpha/2}\) is the t-score for a 99% confidence level and \((n-1)\) degrees of freedom.3. **Construct the Confidence Interval:** - Calculate the lower and upper bounds of the confidence interval: \[ (\overline{x} - E, \overline{x} + E) \]**Inputs Required:**- **Point Estimate (\(\overline{x}\))**: - Enter the sample mean as the point estimate to one decimal place.- **Margin of Error**: - Enter the calculated margin of error.- **Confidence Interval**: - Enter the lower and upper bounds of the 99% confidence interval to two decimal places.**Input Fields:**- **Point Estimate**: ![Input Field](path/to/image) - Example Format: 90.3- **Margin of Error**: ![Input Field](path/to/image) - Example Format: ±3.0- **99% Confidence Interval**: - Lower Bound: ![Input Field](path/to/image) - Upper Bound: ![Input Field](path/to/image) - Example

Use the t-distribution to find a confidence interval for a mean u given the relevant sample results. Give the best point estimate for u, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 99% confidence interval for u using the sample results = 90.3, s = 34.2, and n = 15 Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places. point estimate = margin of error =

Use the t-distribution to find a confidence interval for a mean u given the relevant sample results. Give the best point estimate for u, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 99% confidence interval for u using the sample results = 90.3, s = 34.2, and n = 15 Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places. point estimate = margin of error =

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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