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A Quality Analyst Wants to Construct a Sample Mean Chart

question 78

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A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is under control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each:  Weight (ounces)   Day  Monday 23222324 Tuesday 23211921 Wednesday 20192021 Thursday 18192019 Friday 18202220\begin{array} { r } { \text { Weight (ounces) } }\\\begin{array} { l l l l l } \text { Day } \\\hline \text { Monday } & 23 & 22 & 23 & 24 \\\text { Tuesday } & 23 & 21 & 19 & 21 \\\text { Wednesday } & 20 & 19 & 20 & 21 \\\text { Thursday } & 18 & 19 & 20 & 19 \\\text { Friday } & 18 & 20 & 22 & 20\end{array}\end{array} What is the mean of the sampling distribution of sample means when this process is under control?


Definitions:

Government Spending

Refers to the expenditure by government bodies on goods and services, including investments, infrastructure, and payments for social services.

Taxes

Compulsory financial charges or some other type of levy imposed upon a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and various public expenses.

Federal Funds Rate

The interest rate charged in the federal funds market; the interest rate banks charge one another for overnight borrowing; the Fed’s target interest rate.

Fiscal Policy

Involves government policies on taxation and spending that aim to influence a country's economic conditions, such as controlling inflation, unemployment, and promoting economic growth.

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