Test the hypothesis that σ₁ <0₂ at the a= 0.05 level of significance for the given sample data. Assume that the populations are normally distributed. Use the P-value approach. State the null and alternative hypotheses for this test. Но H₁: h 3 TE Population 1 Population 2 50 28 8.3 10.1
Test the hypothesis that σ₁ <0₂ at the a= 0.05 level of significance for the given sample data. Assume that the populations are normally distributed. Use the P-value approach. State the null and alternative hypotheses for this test. Но H₁: h 3 TE Population 1 Population 2 50 28 8.3 10.1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![**Test the Hypothesis**
The hypothesis to be tested is whether \(\sigma_1 < \sigma_2\) at the \(\alpha = 0.05\) level of significance, using the sample data provided. It is assumed that both populations are normally distributed. The P-value approach will be utilized for testing.
**Sample Data**
A table provides the following statistics for two populations:
- **Population 1:**
- Sample size (\(n\)): 50
- Sample standard deviation (\(s\)): 8.3
- **Population 2:**
- Sample size (\(n\)): 28
- Sample standard deviation (\(s\)): 10.1
**Hypothesis Statements**
Define the null and alternative hypotheses for this statistical test:
- \(H_0\): [Dropdowns for user selections]
- \(H_1\): [Dropdowns for user selections]
These dropdowns are placeholders for users to select the correct mathematical symbols for their hypothesis testing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e5d1fcc-dc4e-459d-accd-b833757f73de%2Fdefbcc22-a873-43e4-8325-d04d6c4ba582%2Fnlutj7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Test the Hypothesis**
The hypothesis to be tested is whether \(\sigma_1 < \sigma_2\) at the \(\alpha = 0.05\) level of significance, using the sample data provided. It is assumed that both populations are normally distributed. The P-value approach will be utilized for testing.
**Sample Data**
A table provides the following statistics for two populations:
- **Population 1:**
- Sample size (\(n\)): 50
- Sample standard deviation (\(s\)): 8.3
- **Population 2:**
- Sample size (\(n\)): 28
- Sample standard deviation (\(s\)): 10.1
**Hypothesis Statements**
Define the null and alternative hypotheses for this statistical test:
- \(H_0\): [Dropdowns for user selections]
- \(H_1\): [Dropdowns for user selections]
These dropdowns are placeholders for users to select the correct mathematical symbols for their hypothesis testing.
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