An engineer conducted an experiment to compare two metals: iron and co

Question

An engineer conducted an experiment to compare two metals: iron and copper, as bonding agents for an alloy material. Components of the alloy were bonded using the metals as bonding agents, and the pressures required to break the bonds were measured. The data for the breaking pressures are given in the following table:

S. No.	Breaking Pressure
S. No.	Iron	Copper
1	72.7	73
2	69.6	67.2
3	83.4	75.3
4	78.9	61.4
5	75	74
6	71.6	69.5
7	85.7	69.8
8	73.5	73.8
9	70.4	68
10	84.2	76.1

If the breaking pressures for both iron and copper are normally distributed, are the variances of the distributions of the breaking pressure of iron and copper equal at 5 % level of significance?

02 Apr 2024

Answer :

Word Count : 396

To determine if the variances of the distributions of the breaking pressure of iron and copper are equal at a 5% level of significance, we can perform an F-test for the equality of variances.

Given:
- Sample size for iron (n1) = 10
- Sample size for copper (n2) = 10
- Level of significance (α) = 0.05

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