Testing: Ho:μ = 17.4 Η: μ < 17.4 Your sample consists of 39 subjects, with a mea and standard deviation of 4.05. Calculate the test statistic, rounded to 2 decim t Submit Question
Testing: Ho:μ = 17.4 Η: μ < 17.4 Your sample consists of 39 subjects, with a mea and standard deviation of 4.05. Calculate the test statistic, rounded to 2 decim t Submit Question
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 Example**
**Testing:**
- Null Hypothesis (\(H_0\)): \(\mu = 17.4\)
- Alternative Hypothesis (\(H_1\)): \(\mu < 17.4\)
Your sample consists of 39 subjects, with a mean of 16.6 and a standard deviation of 4.05.
**Task:**
Calculate the test statistic, rounded to 2 decimal places.
**Formula:**
\[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \]
Where:
- \(\bar{x}\) = sample mean (16.6)
- \(\mu\) = population mean under null hypothesis (17.4)
- \(s\) = sample standard deviation (4.05)
- \(n\) = sample size (39)
**Input Field:**
- Enter the calculated \(t\)-value.
**Button:**
- Submit Question](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97b5df25-1667-438a-b46e-c2a0d1ae7c86%2F67be455b-862b-41ce-a01d-a158c7d65935%2F84f1mox_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Example**
**Testing:**
- Null Hypothesis (\(H_0\)): \(\mu = 17.4\)
- Alternative Hypothesis (\(H_1\)): \(\mu < 17.4\)
Your sample consists of 39 subjects, with a mean of 16.6 and a standard deviation of 4.05.
**Task:**
Calculate the test statistic, rounded to 2 decimal places.
**Formula:**
\[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \]
Where:
- \(\bar{x}\) = sample mean (16.6)
- \(\mu\) = population mean under null hypothesis (17.4)
- \(s\) = sample standard deviation (4.05)
- \(n\) = sample size (39)
**Input Field:**
- Enter the calculated \(t\)-value.
**Button:**
- Submit Question
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