Question

Asked Nov 8, 2019

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For a normal distribution, identify the z-score location that would separate the distribution into 2 sections so that there is

- 10% in the tail on the right-hand side
- 20% in the tail on the left-hand side
- 30% in the tail on the right-hand side

Step 1

**1.**

Step-by-step procedure to obtain the z-score location using MINITAB:

- Choose
**Graph > Probability Distribution Plot**choose**View Probability****> OK.** - From
**Distribution**, choose ‘**Normal**’ distribution. - Click the
**Shaded Area** - Choose
**Probability**and**Right Tail**for the region of the curve to shade. - Enter the
**Probability****value**as**10**. - Click
**OK**.

Output using the MINITAB software is given below:

Step 2

From the output, the z-score location that would separate the distribution into 2 sections so that there is 10% in the tail on the right-hand side is **1.282**.

**2.**

Step-by-step procedure to obtain the z-score location using MINITAB:

- Choose
**Graph > Probability Distribution Plot**choose**View Probability****> OK.** - From
**Distribution**, choose ‘**Normal**’ distribution. - Click the
**Shaded Area** - Choose
**Probability**and**Left Tail**for the region of the curve to shade. - Enter the
**Probability****value**as**20**. - Click
**OK**.

Output using the MINITAB software is given below:

Step 3

From the output, the z-score location that would separate the distribution into 2 sections so that there is 20% in the tail on the Left-hand side is **–0.8416**.

**3.**

Step-by-step procedure to obtain the z-score location using MINITAB:

- Choose
**Graph > Probability Distribution Plot**choose**View Probability****> OK.** - From
**Distribution**, choose ‘**Normal**’ distribution. - Click the
**Shaded Area** - Choose
**Probability**...

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