Question
Match the following steps (with the description) of finding x-limits for given probabilities of a normal distribution.
Question 5 options:
Use the z-transformation to covert the z-value into corresponding x-value
Use the z-table to identify the z-value that corresponds to the area under the normal curve drawn in Step 1
Sketch the normal curve and show the position of the x-value that corresponds to the given probability
Question 5 options:
Use the z-transformation to covert the z-value into corresponding x-value
Use the z-table to identify the z-value that corresponds to the area under the normal curve drawn in Step 1
Sketch the normal curve and show the position of the x-value that corresponds to the given probability
Answers
GPT-4o mini
To match the steps of finding x-limits for given probabilities of a normal distribution with their descriptions, we can organize them as follows:
1. **Sketch the normal curve and show the position of the x-value that corresponds to the given probability** - This is the first step where you visually represent the normal distribution and indicate where the x-value that represents the given probability lies.
2. **Use the z-table to identify the z-value that corresponds to the area under the normal curve drawn in Step 1** - After sketching the curve, the next step is to refer to the z-table to find the z-value that corresponds to the specified probability (area).
3. **Use the z-transformation to convert the z-value into corresponding x-value** - Finally, after obtaining the z-value from the z-table, you use the z-transformation formula to find the corresponding x-value in the original normal distribution.
So the correct matches are:
- **Step 1:** Sketch the normal curve and show the position of the x-value that corresponds to the given probability
- **Step 2:** Use the z-table to identify the z-value that corresponds to the area under the normal curve drawn in Step 1
- **Step 3:** Use the z-transformation to convert the z-value into corresponding x-value
1. **Sketch the normal curve and show the position of the x-value that corresponds to the given probability** - This is the first step where you visually represent the normal distribution and indicate where the x-value that represents the given probability lies.
2. **Use the z-table to identify the z-value that corresponds to the area under the normal curve drawn in Step 1** - After sketching the curve, the next step is to refer to the z-table to find the z-value that corresponds to the specified probability (area).
3. **Use the z-transformation to convert the z-value into corresponding x-value** - Finally, after obtaining the z-value from the z-table, you use the z-transformation formula to find the corresponding x-value in the original normal distribution.
So the correct matches are:
- **Step 1:** Sketch the normal curve and show the position of the x-value that corresponds to the given probability
- **Step 2:** Use the z-table to identify the z-value that corresponds to the area under the normal curve drawn in Step 1
- **Step 3:** Use the z-transformation to convert the z-value into corresponding x-value