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What type of hypothesis test should be performed?| What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the a = 0.01 significance level to support the technician's claim?

What type of hypothesis test should be performed?| What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the a = 0.01 significance level to support the technician's claim?

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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**Rod Length Hypothesis Testing** A rods manufacturer is expected to produce rods with a length of 12 inches. During a quality control check, a technician sampled 19 rods, discovering a sample mean length of 12.06 inches and a sample standard deviation of 0.13 inches. The technician claims that the true mean rod length is less than 12 inches. **Hypothesis Test:** 1. **Type of Hypothesis Test:** - Determine the appropriate hypothesis test to evaluate the technician's claim. 2. **Test Statistic:** - Calculate the test statistic based on the sample data to assess the claim. 3. **Degrees of Freedom:** - Establish the number of degrees of freedom applicable to the test. 4. **Significance Level (α = 0.01):** - Analyze the evidence at a 0.01 significance level to decide if the technician's claim is supported. **Analysis Requirements:** - The appropriate test type should be selected from a given list. - The test statistic is a calculated value crucial for determining whether to reject the null hypothesis. - Degrees of freedom are essential for identifying the correct distribution in hypothesis testing. - Determination of support for the claim is indicated by selecting "Yes" or "No" based on the test results and significance level.
Transcribed Image Text:**Rod Length Hypothesis Testing** A rods manufacturer is expected to produce rods with a length of 12 inches. During a quality control check, a technician sampled 19 rods, discovering a sample mean length of 12.06 inches and a sample standard deviation of 0.13 inches. The technician claims that the true mean rod length is less than 12 inches. **Hypothesis Test:** 1. **Type of Hypothesis Test:** - Determine the appropriate hypothesis test to evaluate the technician's claim. 2. **Test Statistic:** - Calculate the test statistic based on the sample data to assess the claim. 3. **Degrees of Freedom:** - Establish the number of degrees of freedom applicable to the test. 4. **Significance Level (α = 0.01):** - Analyze the evidence at a 0.01 significance level to decide if the technician's claim is supported. **Analysis Requirements:** - The appropriate test type should be selected from a given list. - The test statistic is a calculated value crucial for determining whether to reject the null hypothesis. - Degrees of freedom are essential for identifying the correct distribution in hypothesis testing. - Determination of support for the claim is indicated by selecting "Yes" or "No" based on the test results and significance level.
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