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.
test statistic-
critical region-
Calculate the value of the test statistic and give your decision using the following data (n=10)
7.65
7.60
7.65
7.70
7.55
7.55
7.40
7.40
7.50
7.50
s=0.10274
t=1.539
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