### Hypothesis Testing for Golf Ball Diameter#### Problem StatementSuppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.005 inch. Determine whether these golf balls conform to this requirement at the α = 0.01 level of significance. Assume that the population is normally distributed.#### DataThe diameters of the golf balls provided for the test are as follows:- 1.622- 1.677- 1.678- 1.679- 1.681- 1.684- 1.684- 1.678- 1.684- 1.684- 1.677#### Hypothesis Formulation- **Null Hypothesis (H₀):** The standard deviation of the golf ball diameter is 0.005 inch or more.- **Alternative Hypothesis (H₁):** The standard deviation of the golf ball diameter is less than 0.005 inch.#### Instructions for Hypothesis Testing1. **Select the Null and Alternative Hypotheses:** Use the drop-down menus to select the correct symbols and conditions for the null and alternative hypotheses. 2. **Determine the Test Statistic:** Calculate the standard deviation from the sample data provided and compare it to the defined threshold of 0.005 inch.3. **Decision Rule:** At a significance level of α = 0.01, determine if the calculated standard deviation supports the alternative hypothesis.4. **Conclude:** Based on the comparison and the level of significance, conclude whether the golf ball diameters conform to the requirement.#### Interactive Features- The web interface provides drop-down options for selecting hypotheses and buttons for clearing inputs or checking the correctness of selected hypotheses.#### Additional HelpIf you require further guidance, click "Get more help" for a detailed explanation or example.

Diameter1.6821.6791.6841.6841.6771.6811.6781.6841.6781.6841.6841.677We have to test whether the…

Answered: Suppose a professional golfing…

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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