Question: A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in control with regard to

A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in control with regard to a particular quality attribute. Accordingly, she inspected 1,000 units of output from each machine in random samples, with the following results:

Machine Total Defectives
#1 23
#2 15
#3 29
#4 13

What is the sample proportion of defectives for machine #1?

.023

.02

.0058

.005

.0115

What is the estimate of the process proportion of defectives?

.06

.08

.02

.04

.01

What is the estimate of the standard deviation of the sampling distribution of sample proportions for this process?

.0044

.016

.00002

.04

.00016

What are the control chart upper and lower control limits for an alpha risk of .05?

.0332 and .0068

.0272 and .0128

.0303 and .0097

.029 and .013

.0287 and .0113

For upper and lower control limits of .026 and .014, which machine(s), if any, appear(s) to be out-of-control for process proportion of defectives?

machine #3

machine #4

machines #3 and #4

machines #2 and #3

none of the machines

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!