The Reliability of Two Types of Machines Used in the Same

question 96

Essay

The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 90 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials.
a.Give a point estimate for the difference between the population proportions of these machines.
b.Calculate the pooled estimate of the population proportion.
c.Carry out a hypothesis test to check whether there is a statistically significant difference in the reliability for the two types of machines using a .10 level of significance.

---

Definitions:

Atheist

An individual who does not believe in the existence of God or any deities.

Spiritual Needs

The aspects of care that relate to a person’s inner values, beliefs, and spirituality, often regarded as important in healthcare settings.

Gynecological Problem

Issues and disorders affecting the female reproductive system, such as ovarian cysts, endometriosis, and cervical dysplasia, requiring medical evaluation and treatment.

Punished

To be subjected to a penalty or consequence for wrongdoing or undesirable behavior.