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The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2180 pounds with a variance of 33,672.25. A consumer protection agenc claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see its claim can be supported. State the null hypothesis Ho and the alternative hypothesis H₁ they would use for this test. Ho: D H₁: D 0 μ 0 0²0

The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2180 pounds with a variance of 33,672.25. A consumer protection agenc claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see its claim can be supported. State the null hypothesis Ho and the alternative hypothesis H₁ they would use for this test. Ho: D H₁: D 0 μ 0 0²0

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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**Breaking Strength of Cables Hypothesis Test** The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2180 pounds with a variance of 33,672.25. A consumer protection agency claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\) they would use for this test. --- - \(H_0: \sigma^2 = 33,672.25\) - \(H_1: \sigma^2 > 33,672.25\) **Symbols Used in Hypothesis Testing** - \(\mu\) : Population mean - \(\bar{x}\) : Sample mean - \(p\) : Population proportion - \(\hat{p}\) : Sample proportion - \(\sigma\) : Population standard deviation - \(s\) : Sample standard deviation
Transcribed Image Text:**Breaking Strength of Cables Hypothesis Test** The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2180 pounds with a variance of 33,672.25. A consumer protection agency claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\) they would use for this test. --- - \(H_0: \sigma^2 = 33,672.25\) - \(H_1: \sigma^2 > 33,672.25\) **Symbols Used in Hypothesis Testing** - \(\mu\) : Population mean - \(\bar{x}\) : Sample mean - \(p\) : Population proportion - \(\hat{p}\) : Sample proportion - \(\sigma\) : Population standard deviation - \(s\) : Sample standard deviation
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Step 1

Given :

X be the breaking strength of the cable.

and, X~N2180,33672.25

 

 

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