The Next Questions Are Based on the Following Information

question 149

Essay

The Next Questions Are Based On The Following Information:
A pharmaceutical manufacturer is concerned that the mean impurity concentration in pills should not exceed 3%.It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation 0.4%.A random sample of 36 pills from a production run was checked,and the sample mean impurity concentration was found to be 3.09%.
-In the context of this problem,explain why a one-sided alternative hypothesis is more appropriate than a two-sided alternative.

---

Definitions:

Scientific Attitude

An approach to understanding the world that involves skepticism, empirical evidence, and the search for knowledge.

Skepticism

A skeptical attitude; doubt as to the truth of something, often requiring evidence to validate claims.

Scientific Attitude

An approach to investigations that involve skepticism and openness to change when evidence contradicts beliefs.

Humility

A personal quality characterized by a lack of ego, a recognizing of one's own limitations, and a focus on the needs and accomplishments of others.