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Help me solve this Type here to search 1 View an example Get more help. Et CD P a A 6 Clear all (2) Check answer 1:14 PM 6/18/2022 50 94°F Mostly sunny A

Help me solve this Type here to search 1 View an example Get more help. Et CD P a A 6 Clear all (2) Check answer 1:14 PM 6/18/2022 50 94°F Mostly sunny A

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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### Hypothesis Testing Using t-Distribution In this example, we aim to test the following hypotheses: - Null Hypothesis (H₀): μ = 20 - Alternative Hypothesis (H₁): μ < 20 A simple random sample of size n = 19 is obtained from a population that is known to be normally distributed. We will address the following parts (a)- (d): 1. **Click here to view the t-Distribution Area in Right Tail.** 2. **Part (a)** If the sample mean (x̄) is 18.4 and the sample standard deviation (s) is 4.3, compute the test statistic using the formula for a one-sample t-test: \[ t = \frac{\overline{x} - \mu}{s / \sqrt{n}} \] - Here, \(\overline{x} = 18.4\) - \(\mu = 20\) - \(s = 4.3\) - \(n = 19\) Compute the t value (Round to two decimal places as needed): (formula and calculation steps to be shown) ### Interactive Features - **Help me solve this**: Provides step-by-step guidance to solve the problem. - **View an example**: Shows how to work through a similar problem with different data. - **Get more help**: Additional resources or access to a tutor or instructor. - **Clear all**: Clears any input or selections made. - **Check answer**: Validates the inputted answer against the correct one. ### Current Status Indicators - **94°F** | Mostly sunny - **Date and Time**: 1:14 PM, 6/18/2022 By working through this example, students will learn how to perform hypothesis testing for the mean using the t-distribution and how to interpret the calculated test statistic in the context of the given hypotheses.
Transcribed Image Text:### Hypothesis Testing Using t-Distribution In this example, we aim to test the following hypotheses: - Null Hypothesis (H₀): μ = 20 - Alternative Hypothesis (H₁): μ < 20 A simple random sample of size n = 19 is obtained from a population that is known to be normally distributed. We will address the following parts (a)- (d): 1. **Click here to view the t-Distribution Area in Right Tail.** 2. **Part (a)** If the sample mean (x̄) is 18.4 and the sample standard deviation (s) is 4.3, compute the test statistic using the formula for a one-sample t-test: \[ t = \frac{\overline{x} - \mu}{s / \sqrt{n}} \] - Here, \(\overline{x} = 18.4\) - \(\mu = 20\) - \(s = 4.3\) - \(n = 19\) Compute the t value (Round to two decimal places as needed): (formula and calculation steps to be shown) ### Interactive Features - **Help me solve this**: Provides step-by-step guidance to solve the problem. - **View an example**: Shows how to work through a similar problem with different data. - **Get more help**: Additional resources or access to a tutor or instructor. - **Clear all**: Clears any input or selections made. - **Check answer**: Validates the inputted answer against the correct one. ### Current Status Indicators - **94°F** | Mostly sunny - **Date and Time**: 1:14 PM, 6/18/2022 By working through this example, students will learn how to perform hypothesis testing for the mean using the t-distribution and how to interpret the calculated test statistic in the context of the given hypotheses.
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