Containers of a Certain Treatment for Septic Tanks Are Supposed

question 56

Essay

Containers of a certain treatment for septic tanks are supposed to contain 16 oz of liquid. A sample of five containers is selected from the production line once each hour and the sample average content is determined. Consider the following results: $$\begin{array} { c c c c c c c c } 15.993 & 16.052 & 16.067 & 15.913 & 16.031 & 16.061 & 15.983 & 15.900 \\16.039 & 16.075 & 16.040 & 15.936 & 16.033 & 15.961 & 16.056 &\end{array}$$ Using $$\Delta$$ = .10 and h = .20, employ the computational form of the CUSUM procedure to investigate the behavior of this process.

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Definitions:

Distribution

Refers to the way in which something is shared out among a group or spread over an area.

Alternative Hypothesis

The hypothesis that proposes there is a statistically significant difference between two or more sets of data, contrasting the null hypothesis.

Region of Rejection

The range of values for which the null hypothesis is rejected in favor of the alternative hypothesis in hypothesis testing.

p < .05

Indicates that the probability of the observed data occurring under the null hypothesis is less than 5%, suggesting statistical significance.