A Soft Drink Filling Machine, When in Perfect Adjustment, Fills $\alpha$

question 18

Essay

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
a.Formulate the hypotheses to test to determine if the machine is in perfect adjustment.
b.Compute the value of the test statistic.
c.Compute the p-value and give your conclusion regarding the adjustment of the machine. Let $\alpha$ = .05.

---

Definitions:

City Life

Refers to the lifestyle and day-to-day activities of individuals living in urban areas, often characterized by higher population density, diverse cultures, and economic activities.

American Society

The collective social structure, norms, and values that define the lifestyle, behavior, and relationships of individuals within the United States.

1815 to 1860

A period marked by various significant global events, including the end of the Napoleonic Wars, significant developments in industrialization, and shifts towards modernity.

Equality and Inequality

Concepts referring to the state of being equal in rights, status, and opportunities (equality) contrasted with the condition where there is a disparity or unfairness in access to opportunities and resources (inequality).