Allied Corporation Is Trying to Determine Whether to Purchase Machine

question 144

Essay

Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for a month. A random sample of 5 employees has been taken. These employees have gone through a training session on both machines. Below you are given information on their productivity rate on both machines. (Let d  Machine A  Machine B.)

a.State the null and alternative hypotheses for a two-tailed test.
b.Find the mean and standard deviation for the difference.
c.Compute the test statistic.
d.Test the null hypothesis stated in Part a at the 10% level.

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Definitions:

Over-Charging

The act of applying too much charge to a battery, leading to potential damage or reduced lifespan.

Wet Cell Battery

Term commonly used to describe a lead-acid battery using a sulfuric acid solution as electrolyte.

Electrolyte

A chemical substance containing free ions that make it electrically conductive, typically used in batteries and some types of fuel cells.

Hydrogen

A colorless, odorless, and highly flammable gas that is the most abundant element in the universe, commonly used in fuel cells and as a clean energy source.