Question 1181440: Sketch the normal curve the critical value and write if it is in the REJECTION or ACCEPTANCE REGION.
1. critical value of 1.25 and computed value of 2.18
2. critical value of 2.25 and computed value of 2.18
3. critical value of -1.05 and computed value of -2.18
4. critical value of 2.75 and computed value of 3.28
5. critical value of -2.75 and computed value of -1.28
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Here's a breakdown of each scenario, including a sketch and the region:
**General Sketch:**
All the sketches will have a similar format. A bell curve (normal distribution) is drawn. The critical value(s) are marked on the x-axis. The area beyond the critical value(s) (in the tails) is the rejection region. The area between the critical values (if there are two) is the acceptance region. The computed value is also marked, and its position relative to the critical value(s) determines whether it falls in the rejection or acceptance region.
**1. Critical value: 1.25, Computed value: 2.18**
* **Sketch:** The critical value 1.25 is marked on the right side of the curve. The rejection region is to the right of 1.25. The computed value 2.18 is also on the right side, *further* to the right than 1.25.
* **Region:** REJECTION REGION
**2. Critical value: 2.25, Computed value: 2.18**
* **Sketch:** The critical value 2.25 is marked on the right side of the curve. The rejection region is to the right of 2.25. The computed value 2.18 is also on the right side, but *to the left* of 2.25.
* **Region:** ACCEPTANCE REGION
**3. Critical value: -1.05, Computed value: -2.18**
* **Sketch:** The critical value -1.05 is marked on the left side of the curve. The rejection region is to the left of -1.05. The computed value -2.18 is also on the left side, *further* to the left than -1.05.
* **Region:** REJECTION REGION
**4. Critical value: 2.75, Computed value: 3.28**
* **Sketch:** The critical value 2.75 is marked on the right side of the curve. The rejection region is to the right of 2.75. The computed value 3.28 is also on the right side, *further* to the right than 2.75.
* **Region:** REJECTION REGION
**5. Critical value: -2.75, Computed value: -1.28**
* **Sketch:** The critical value -2.75 is marked on the left side of the curve. The rejection region is to the left of -2.75. The computed value -1.28 is also on the left side, but *to the right* of -2.75.
* **Region:** ACCEPTANCE REGION
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