Question

1. what effect does increasing the sample size have on the population standard deviation?

If the sample size increases then the sample standard deviation will be decreases. But in this sentence, it is not a sample standard deviation. Every answer in CheggStudy is decrease.

I think sample size doesn't affect to the population standard deviation.

2. When performing a hypothesis test, what effect does increasing the sample size have on the probability of type 1 error?

3. When performing a hypothesis test, what effect does increasing the sample size have on the power?

I can't understand well when I see the answers.

I tried to solve it using standard deviation error. If the n increases, the sample standard deviation will decrease. It means the shape will be sharper. After I compared the area between 2 bell shaped. Let me know the easy answer.

Answer 1