1 Two tests are to be run at the same alevel with the same s

1. Two tests are to be run at the same a-level, with the same sample size n. Test A is H₀: N(5, 12) vs. H₁: N(7, 12), Test B is H₀: N(5, 12) vs. H₁: N(9, 12). Which test is more powerful? Draw a picture (or two) as part of your explanation.

- what does which thest is more powerful mean? -

2. Two tests are to be run at the same a-level, with the same sample size n. Test A is H₀: N(5, 12) vs. H₁: N(4, 12), Test B is H₀: N(5, 12) vs. H₁: N(0, 12). Which test is more powerful? Draw a picture (or two) as part of your explanation.

3. Two tests are to be run at the same a-level; both are testing H₀: N(5, 12) vs. H₁: N(7, 12), For Test A, n = 15, and for Test B, n = 25. Which test is more powerful? Draw a picture (or two) as part of your explanation.

4. You are running a one-sided test of H₀: = ₀, where q is the appropriate quantile/critical bound. (Note: q may be positive or negative, depending on the test.) Do you reject H₀ if H₁: > ₀ and t > q?

5. You are running a one-sided test of H₀: = ₀, where q is the appropriate quantile/critical bound. (Note: q may be positive or negative, depending on the test.) Do you reject H₀ if H₁: > ₀ and t < q?

6. Suppose your t-statistic has a value of 2.3, where n = 14. Estimate the p-value using the tables above, for a 1-sided test where H₁ holds that is greater than what H₀ holds.

Please wirte answers clearly.(do not write in script)

Thank you.

Solution

1) the more powerful is test B because the mean of H1 is more far than the mean of H1 from the mean of Ho

2) the more powerful is test B because the mean of H1 is more far than the mean of H1 (test A) from the mean of Ho

for the other literals I can gladly help you but you should post it in a new question