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You Have Been Asked to Observe the Shift Supervisor at the Process

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You have been asked to observe the shift supervisor at the process test plant for Hudson Chemical Co. to estimate the proportion of time she spends answering questions for the operators. Your 30 observations have revealed the following:
You have been asked to observe the shift supervisor at the process test plant for Hudson Chemical Co. to estimate the proportion of time she spends answering questions for the operators. Your 30 observations have revealed the following:    (a)Based on the preliminary data, calculate the proportion of time she spends answering questions for the operators. (b)Calculate the sample size needed to estimate the proportion of time she spends answering questions for the operators. Assume a 90% confidence that the results will lie within 5% of the true value.

(a)Based on the preliminary data, calculate the proportion of time she spends answering questions for the operators.
(b)Calculate the sample size needed to estimate the proportion of time she spends answering questions for the operators. Assume a 90% confidence that the results will lie within 5% of the true value.


Definitions:

Existential Instantiation

A logical rule inferring the existence of at least one instance of a predicate; used in proofs to show something exists.

Universal Instantiation

A principle in logic that allows for the deducing of a statement about a specific instance from a general statement that applies to all instances.

Universal Generalization

A form of deductive reasoning that concludes a general statement is true for all instances based on the observation of particular instances.

Quantifier Negation

The process of negating the quantifiers in a statement, such as changing "all" to "not all" or "some" to "none".

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