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
A 95% confidence interval based on n = 12 observations.
A 99% confidence interval from a sample of two observations.
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
H_{0}: = 0
H_{a}: > 0
What are the degrees of freedom for this statistic?
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?
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?
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