Question

You are given the Zst value 4.5. Your job is to identify the Sigma Long Term value using the Sigma Shift formula. Choose the correct answer from the given choices.

Answer 1

The correct answer is ,d) with a Sigma Long Term value of
`\( 2 * 3 = 6 \).`

The Sigma Shift formula is given by:
`\( \text{Sigma Long Term} = Zst + \text{Sigma Shift} \).`

Given that
`\( Zst = 2 \),`and the choices are in the form of
`\( 2 * \text{Sigma Shift} \)`, you can find the Sigma Long Term by multiplying
`\( Zst \)` by the factor in each choice.

Let's evaluate the choices:

`A: \( 2 * 4.5 = 9 \)\\B: \( 2 * 3 = 6 \)\\C: \( 2 * 1.5 = 3 \)\\D: \( 2 * 4.5 = 9 \)`

Therefore, the correct answer is B, with a Sigma Long Term value of
`\( 2 * 3 = 6 \).`

Complete question:-

You are given the Zst value. Your job is to identify the Sigma long term value using the Sigma shift formula.
Zst= 4.5
a) 3
b) 1.5
c) 4.5
d) 6

Answer 2

To find the Sigma Long Term value from a given Zst value of 4.5, we subtract the standard Sigma Shift of 1.5, yielding a Sigma Long Term value of 3.0.

Step-by-step explanation:

The student is given a Zst value of 4.5 and needs to identify the Sigma Long Term value using the Sigma Shift formula. As per the Six Sigma methodology, the Sigma Shift is often considered to be 1.5, which is the shift in the process mean over the long term in many industries. To calculate the Sigma Long Term value, we subtract the Sigma Shift from the Zst value.

Σ Long Term = Zst − Sigma Shift

Given that Zst = 4.5 and Sigma Shift is usually 1.5, we can calculate the Sigma Long Term as follows:

Σ Long Term = 4.5 − 1.5 = 3.0