Question

A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:

Machine Measurements:

Machine #1: 17 15 15 17
Machine #2: 16 25 18 25
Machine #3: 23 24 23 22
What is the sample mean for machine #1?

A) 16
B) 15
C) 21
D) 23
E) 17

Answer 1

The sample mean for machine #1 is calculated by summing its measurements and dividing by the number of measurements, resulting in a mean of 16.

Step-by-step explanation:

To find the sample mean for machine #1, you add together all the measurements and then divide by the number of measurements. The measurements for machine #1 are 17, 15, 15, and 17.

First, add the measurements together: 17 + 15 + 15 + 17 = 64.

Next, divide the sum by the number of measurements: 64 ÷ 4 = 16.

Therefore, the sample mean for machine #1 is 16, which corresponds to option A).