A manufacture of rayon wants to compare that the yield strength of 11⋅5 kg/mm² is met or not at 5% level of significance. The manufacturer draws a sample and calculates the mean to be 12⋅8kg/ 2 mm and the standard derivation is known to be 2⋅0kg/ mm . 2 Carry out the statistical test appropriate for this.

To test whether the yield strength meets the specified value of 11.5 kg/mm² at a 5% level of significance, a hypothesis test is conducted.

### Step 1: Define Hypotheses  
- Null Hypothesis (H₀): μ = 11.5 kg/mm² ______ _______ ___ ________ _______ ___ ______.
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