A Precision Control Engineer Is Interested in the Mean Length $\alpha$

question 107

Essay

A precision control engineer is interested in the mean length of tubing being cut automatically by machine.It is known that the standard deviation in the cutting length is 0.15 feet.A sample of 60 cut tubes yields a mean length of 12.15 feet.This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.
a.What is the z $\alpha$ / 2 value to use in obtaining the confidence interval?
b.Develop the 99% confidence interval for $\mu$ .

---

Definitions:

Lysosomes

Organelles in cells that contain enzymes to break down waste materials and cellular debris.

Peroxisomes

Organelles found in virtually all eukaryotic cells that contain enzymes involved in the detoxification of harmful substances and in metabolic pathways.

Vesicles

Small structures within cells that contain fluid or cytoplasm and are used for storing or transporting substances.

Enzymes

Proteins that catalyze and speed up chemical reactions in the body without being consumed or altered in the process.