3. Two types of aluminum sheet metal are being tested to use as aircraft skin. 15 samples of Sheet metal 1 have a mean Tensile strength of 24 KSI and l3 samples of Sheet metal 2 have a mean Tensile strength of 19 KSI both having a standard deviation of 2 KSI. They will use sheet metal 1 if its Tensile strength exceeds the Tensile strength of sheet metal 2 by at least 2 KSI. Make a conclusion based on the given data, use 0.05 level of significance.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.