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The Reliability of Two Types of Machines Used in the Same

question 96

Essay

The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 90 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials.
a.Give a point estimate for the difference between the population proportions of these machines.
b.Calculate the pooled estimate of the population proportion.
c.Carry out a hypothesis test to check whether there is a statistically significant difference in the reliability for the two types of machines using a .10 level of significance.


Definitions:

Bondholder

An investor who owns bonds issued by a corporation or government, lending them money in exchange for periodic interest payments and the return of principal at maturity.

Issuer

An entity that issues or proposes to issue any security, or the entity on whose behalf the securities are issued.

Times-Interest-Earned Ratio

A financial ratio that measures a company's ability to meet its interest payments on outstanding debt.

Debt-to-Equity Ratio

A ratio demonstrating the mix of owner's equity and liabilities in financing the assets of a company.

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