Soft Drink
a Soft Drink Dispenser Is Set to Automatically $\alpha$

question 61

Short Answer

Soft drink
A soft drink dispenser is set to automatically dispense drinks and ice in 8 oz.cups.The machine is set to fill the cups with 7 1/4 oz.so that the liquid will not run over the top of the cup.The company is getting complaints that the machine is filling the cups too full and spilling over.When the machine is operating properly,only 1% of the cups will not be filled properly.The production manager conducted a one-tail hypothesis test at the 0.01 level to check the machine.A sample of 50 fills was measured.
-A hypothesis test has been set up and is to be conducted at the $\alpha$ =.025 level of significance.If the sample is doubled,what will be the effect on $\alpha$ ? On $\beta$ ?

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Definitions:

Intuitive Method

An approach based on using instinctive feelings rather than conscious reasoning to solve problems or make decisions.

Initial Feasible Solution

The first solution that meets all the minimum criteria of a problem, used as a starting point for further optimization in problem-solving or planning.

Stepping-Stone Method

A mathematical approach used in linear programming to find the optimal solution for transportation problems by moving sequentially from one feasible solution to another.

Transportation Problem

An optimization challenge focused on determining the most efficient allocation of resources for transporting goods from suppliers to destinations.