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
Number1 17 15 15 17
Number2 16 25 18 25
Number3 23 24 23 22
What is the estimate of the process mean for whenever it is under control?
a. 16
b. 19
c. 20
d. 21
e. 23

c. 20

Explanation:

The summary of the given information shows that a Quality Analyst sampled four units of output from each machine, with the following results:

Machine Measurements

Number 1        17 15 15 17

Number 2       16 25 18 25

Number 3       23 24 23 22

In order to determine the estimate of the process mean for whenever it is under control, we need to find the mean of each Machine and find the average of the three machines together

i.e

For Machine Number 1 ;

Mean = (17+15+15+17)/4

Mean = 64/4

Mean = 16

For Machine Number 2 ;

Mean = (16+25+18+25)/4

Mean = 84/4

Mean = 21

For Machine Number 3;

Mean = ( 23+24+23+22)/4

Mean = 92/4

Mean = 23

∴

The estimate of the process mean for whenever it is under control

= (16 + 21 + 23)/3

The estimate of the process mean for whenever it is under control = 60/3

The estimate of the process mean for whenever it is under control = 20

cognitive overload: having a lot on your mind impairs decision-making and tends to result in the simplest, but not necessarily best, option being selected.

empathy gaps: overlooking how you might feel in a different situation can result in unnecessary purchases, such as overbuying when shopping for food on an empty stomach.

optimism and overconfidence: wearing rose-tinted glasses and having unrealistic expectations about the future can affect money management and leave you unprepared for a change in circumstance.

instant gratification: seeking instant gratification drives impulsive spending and can undermine long-term planning and savings.

harmful habits: automatic or mindless behaviour can amplify a poor financial decision as it becomes a recurring event.

social norms: we are heavily influenced by the actions of others; while this can be in certain circumstances, it also contributes to the pressure to keep up with the joneses through conspicuous consumption.

c

explanation: