Question
Find the critical value, assuming that the normal distribution applies.
Right-tailed test, alpha = 0.02
a)
b)
c)
d)
e)
f)
The critical value(s) is
[ Select ]
Right-tailed test, alpha = 0.02
a)
b)
c)
d)
e)
f)
The critical value(s) is
[ Select ]
Answers
GPT-4o mini
To find the critical value for a right-tailed test with an alpha level (α) of 0.02, we need to use the standard normal distribution (Z-distribution).
1. **Determine the significance level**:
- For a right-tailed test, we are looking for the Z value that corresponds to the area of 0.02 in the upper tail of the normal distribution.
2. **Find the critical value**:
- We can look up the Z value that corresponds to a cumulative area of \( 1 - \alpha \) (which is \( 1 - 0.02 = 0.98 \)).
- You can find this value using a Z-table or using a calculator or statistical software.
Using a Z-table or statistical software, we find:
- A cumulative area of 0.98 corresponds to a Z value of approximately **2.05**.
Therefore, the critical value for a right-tailed test with \( \alpha = 0.02 \) is **2.05**.
If you have any specific options labeled a) through f) in your question, please let me know so I can assist you further in selecting the correct answer!
1. **Determine the significance level**:
- For a right-tailed test, we are looking for the Z value that corresponds to the area of 0.02 in the upper tail of the normal distribution.
2. **Find the critical value**:
- We can look up the Z value that corresponds to a cumulative area of \( 1 - \alpha \) (which is \( 1 - 0.02 = 0.98 \)).
- You can find this value using a Z-table or using a calculator or statistical software.
Using a Z-table or statistical software, we find:
- A cumulative area of 0.98 corresponds to a Z value of approximately **2.05**.
Therefore, the critical value for a right-tailed test with \( \alpha = 0.02 \) is **2.05**.
If you have any specific options labeled a) through f) in your question, please let me know so I can assist you further in selecting the correct answer!