Identify the Null Hypothesis, Alternative Hypothesis, Test Statistic $P$ -Value, Conclusion About the Null Hypothesis, and Final Conclusion That

question 3

Essay

Identify the null hypothesis, alternative hypothesis, test statistic, $P$ -value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of $183.9 \mathrm { lb }$ . Assuming that $\sigma$ is known to be $121.2 \mathrm { lb }$ , use a $0.10$ significance level to test the claim that the population mean of all such employees weights is less than 200 lb.

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Definitions:

Disinfectants

Disinfectants are chemical agents used to eliminate or reduce harmful microorganisms on surfaces, in water, or in the air, to prevent infection and disease spread.

Hydrogen

A chemical element with the symbol H and atomic number 1, notable for being the lightest and most abundant element in the universe.

Oxygen

A chemical element with the symbol O and atomic number 8, essential for respiration in most terrestrial life forms and used in various industrial applications.

Capacity Constraint

A limit to the amount of goods or services that can be produced or provided due to physical or resource limitations.