A New Apparatus Has Been Devised to Replace the Needle $.06$

question 92

Essay

A new apparatus has been devised to replace the needle in administering vaccines. The apparatus, which is connected to a large supply of vaccine, can be set to inject different amounts of the serum, but the variance in the amount of serum injected to a given person must not be greater than $.06$ to ensure proper inoculation. A random sample of 49 injections was measured. Suppose the $p$ -value for the test is $p = .0085$ . State the proper conclusion using $\alpha = .01$ .

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Definitions:

Matrix Limitation

Constraints or restrictions related to the size, complexity, or operations of a matrix in mathematical or computational contexts.

Series Contacts

Electrical contacts connected in a sequence where the current must flow through all contacts in order, used in circuits and safety systems.

Rung

A group of programmable logic controller instructions that controls an output or storage bit, or performs other control functions such as file moves, arithmetic, and/or sequencer instructions. A rung is represented as one section of a ladder logic diagram.