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.

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Definitions:

Contextual Power

The influence or control one has within a specific context, often affecting the outcome of decisions and interactions.

Authority

The authority or control given to a person or body to make choices, issue commands, and ensure compliance.

Legitimacy

The quality of being justified, acceptable, or in accordance with recognized principles or standards.

Discredit

To harm the reputation or credibility of someone or something, often by providing evidence of wrongdoing.