You would only need to know if you were calculating a 97.5% confidence interval for .
Assuming the rest of my work is correct for this question, I am having trouble on part c. I don't know if I have the right formula and, if I do, I don't know how to calculate .
Let X equal the length of wood blocks manufactured. Assume distribution of X is . The greatest lenth is 7.5 inches. We shall test the null hypothesis against a 2-sided alternative hypothesis using 10 observations.
a) Define test statistic and critical region for an significance level.
Calculate the value of the test statistic and give your decision using the following data (n=10)
1.539 is not greater than 2.262, therefore, it fails to reject
c) Is contained in a 95% confidence interval for ?
As of now, I am using my values of , s=0.10274 and n=10
Thank you for helping!
I didn't understand that either. My book seems to use that for the two sided hypotheses when finding the confidence interval. Is there a different formula I should use? or the same without dividing by 2.
The critical region equation for hypotheses one mean and variance unknown written in the book for H1: does not equal is