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:

DSL

Digital Subscriber Line is a collective term for technologies that enable internet connectivity through the digital data transmission over local telephone network cables.

Bandwidth

The maximum rate of data transfer across a given path or connection in a specified period, typically measured in bits per second (bps).

Fiber-Optic

Technology that uses glass or plastic fibers to transmit data at high speeds using light.

Glass

A hard, brittle substance, typically transparent or translucent, made by fusing sand with soda, lime, and sometimes other ingredients and cooling rapidly.