Statistics level of significance

tedpark1212
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I need help with these statistics problems. Can anyone guide me through them? I would greatly appreciate it. I am completely lost on where to start.

1. Suppose you want to show the significance of an effect size of 0.20 between your sample mean and a hypothesized mean. You intend to conduct a two-sided one-sample t-test. The sample variance is σ2 = 1.0. You assume that the population is large, or effectively infinite. If you want the test to have a power of 0.80, what is the required sample size for the following?

So for here I would use standard normal distribution, correct?

• A level of significance of α = 0.05


• A level of significance of α = 0.01



2. After some research, you determine that the size of the population is N = 350. If you want the test to have a power of 0.80, what is the required sample size for the following?

For question 2 I would use binominal distribution? I'm really confused on how to work the equations.

• A level of significance of α = 0.05


• A level of significance of α = 0.01


3. Comment on the sample sizes required for questions 3 and 4. Explain the differences and similarities.
 
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tedpark1212 said:
I need help with these statistics problems. Can anyone guide me through them? I would greatly appreciate it. I am completely lost on where to start.

1. Suppose you want to show the significance of an effect size of 0.20 between your sample mean and a hypothesized mean. You intend to conduct a two-sided one-sample t-test. The sample variance is σ2 = 1.0. You assume that the population is large, or effectively infinite. If you want the test to have a power of 0.80, what is the required sample size for the following?

So for here I would use standard normal distribution, correct?

• A level of significance of α = 0.05


• A level of significance of α = 0.01



2. After some research, you determine that the size of the population is N = 350. If you want the test to have a power of 0.80, what is the required sample size for the following?

For question 2 I would use binominal distribution? I'm really confused on how to work the equations.

• A level of significance of α = 0.05


• A level of significance of α = 0.01


3. Comment on the sample sizes required for questions 3 and 4. Explain the differences and similarities.

PF rules require you to show some effort. What have you done on this so far?
 
I have yet only established an idea of only which approach to use, but I am unable to implement it in my work.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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