Question

1. you are calculating a confidence interval for the population mean. Find the critical value t* from the t-Distribution Critical Values table for each of the following situations

1. A 95% confidence interval based on n = 12 observations.

2. A 99% confidence interval from a sample of two observations.

3. A 90% confidence interval from a sample of size 1001.

2. Suppose you conduct a hypothesis test for the following hypotheses from a sample of n = 25 observations, and you calculate a test statistic of t = 1.75

H₀:  = 0

H_a:  > 0

1. What are the degrees of freedom for this statistic?

2. What are the two critical values t* from the t-Distribution Critical Values table that bracket this test statistic? What are the one-sided p-values for these two entries?

3. Is the value t = 1.75 significant at the .10 alpha level? Is it significant at the .05 alpha level? Is it significant at the .01 alpha level?

Answer 1