The Elon Company manufactures parts for an aircraft company using three computerized numerical controlled (CNC) turning centers. The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch. The machines have the following parameters: Machine 1 (mean= 0.0995, s = 0.004); Machine 2 (mean = 0.1002, s = 0.009); Machine 3 (mean = 0.095, s = 0.005). Determine which machines (if any) are capable of producing the products within the design specifications.

machine 1 with the mean  0.0995, s = 0.004  will only be capable of producing the products within the design specifications.

Step-by-step explanation:

Given that:

The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch.

The upper limit of the specific part = 0.0970 inch +  0.015 inch = 0.112 inch

The lower limit of the specific part =  0.0970 inch -  0.015 inch = 0.082 inch

Th question continues by stating the following parameters for the machines.

Machine 1 (mean= 0.0995, s = 0.004);

Machine 2 (mean = 0.1002, s = 0.009);

Machine 3 (mean = 0.095, s = 0.005).

The main objective here is to determine  which machines (if any) are capable of producing the products within the design specifications.

Given that Cp is < 1

This process will be capable if Cpk is ≥ 1

To start with machine 1;

Cpk = Min[1.46, 1.04]

Cpk = 1.04

Thus this process is capable because Cpk ≥ 1  

Machine 2;

Cpk =  Min[0.67, 0.44]

Cpk = 0.44

Thus this process is not  capable because Cpk < 1  

Machine 3

Cpk =  Min[0.87, 1.13]

Cpk = 0.87

Thus this process is not  capable because Cpk < 1  

In conclusion, machine 1 with the mean  0.0995, s = 0.004  will only be capable of producing the products within the design specifications.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.