Production Filling ​A Production Filling Operation Has a Historical Standard Deviation

question 81

Essay

Production Filling
​A production filling operation has a historical standard deviation of 6 ounces.When in proper adjustment,the mean filling weight for the production process is 50 ounces.A quality control inspector periodically selects at random 36 containers and uses the sample mean filling weight to see if the process is in proper adjustment. ​ ​
-{Production Filling Narrative} Using a standardized test statistic,test the hypothesis at the 5% level of significance if the sample mean filling weight is 48.6 ounces.

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Definitions:

Standard Error

A statistical measure that represents the accuracy with which a sample distribution represents a population using the standard deviation.

P-value

The odds of getting results from a test that are as extreme as or exceed the extremity of the observed results, on the assumption that the null hypothesis is in effect.

Population Correlation

A measure of the strength and direction of association that exists between two variables measured across an entire population.

Alternative

In hypothesis testing, this refers to the hypothesis that contradicts the null hypothesis, suggesting some effect or difference exists.