Testing: Ho: µ = 34.2 H1:µ < 34.2 Your sample consists of 24 subjects, with a mean of 33.2 and standard deviation of 4.65. Calculate the test statistic, rounded to 2 decimal places. t =
Testing: Ho: µ = 34.2 H1:µ < 34.2 Your sample consists of 24 subjects, with a mean of 33.2 and standard deviation of 4.65. Calculate the test statistic, rounded to 2 decimal places. t =
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
#### Null and Alternative Hypothesis:
- \( H_0: \mu = 34.2 \)
- \( H_1: \mu < 34.2 \)
#### Sample Information:
- Number of subjects: 24
- Sample mean (\( \bar{x} \)): 33.2
- Sample standard deviation (\( s \)): 4.65
#### Task:
Calculate the test statistic (\( t \)), rounded to two decimal places.
#### Solution:
To calculate the test statistic for a one-sample t-test, use the formula:
\[
t = \frac{\bar{x} - \mu_0}{s / \sqrt{n}}
\]
Where:
- \( \bar{x} \) is the sample mean
- \( \mu_0 \) is the population mean under the null hypothesis
- \( s \) is the sample standard deviation
- \( n \) is the sample size
Plug in the given values to find the test statistic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa468c45c-e596-4bb7-b4b7-93a28088c315%2Fcd40fa09-d4f2-4fa1-a0b9-cc5d1f94662c%2Fz5dq5hv_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing
#### Null and Alternative Hypothesis:
- \( H_0: \mu = 34.2 \)
- \( H_1: \mu < 34.2 \)
#### Sample Information:
- Number of subjects: 24
- Sample mean (\( \bar{x} \)): 33.2
- Sample standard deviation (\( s \)): 4.65
#### Task:
Calculate the test statistic (\( t \)), rounded to two decimal places.
#### Solution:
To calculate the test statistic for a one-sample t-test, use the formula:
\[
t = \frac{\bar{x} - \mu_0}{s / \sqrt{n}}
\]
Where:
- \( \bar{x} \) is the sample mean
- \( \mu_0 \) is the population mean under the null hypothesis
- \( s \) is the sample standard deviation
- \( n \) is the sample size
Plug in the given values to find the test statistic.
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