# According to the article 'fatigue testing of condoms' (polymer testing, 2009: 567– 571), 'tests currently

1 answer

###### Question:

According to the article "fatigue testing of condoms" (polymer testing, 2009: 567– 571), "tests currently used for condoms are surrogates for the challenges they face in use," including a test for holes, an inflation test, a package seal test, and tests of dimensions and lubricant quality (all fertile territory for the use of statistical the investigators developed a new test that adds cyclic strain to a level well below breakage and determines the number

## Answers

99% Confidence interval: (1196,1973)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 20

Mean, μ = 1584

Standard Deviation, σ = 607

99% Confidence interval:

[tex]\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}[/tex]

Putting the values, we get,

[tex]t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.01} = \pm 2.86[/tex]

[tex]1584 \pm 2.86(\dfrac{607}{\sqrt{20}} )\\\\ = 1584 \pm 388.18\\ = (1195.82 ,1972.18)\\ \approx (1196,1973)[/tex]

Thus, there is a 99% chance that it will break in approximately 1196 to 1972

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