Has my professor supplied incorrect solutions to this Hypothesis Testing excercise? (undergrad statistics class) I have my exam tomorrow, so help would be massively appreciated!
Here's the original question:
Calculate the value of the test statistic, define the decision rule and conclude whether or not the null hypothesis is rejected for the given test. Use the information given with α=10%.
Test H0: µ ≤ 6.3 vs H1: µ > 6.3, for σ is known. n=16, x=7.1, σ=1.25
The provided solution: (the part relevant to my confusion)
- Define the rejection rule:
If Z > u(1-α) -> reject H0 (For α = 10%, u(1-0.1) = u(0,9) = 1.29
From what I understand, if the sample size is n < 30, the student's t-table should be used. Even if the σ is known. So then, shouldn't the correct t-table value be 1.340606 (15df and p=0.1) I have no idea where they are getting this value of 1.29 from? If you look at a right-tail t-table, the value for infinite is 1.282 for p=0.1, but I have no idea why they would use that?
Could someone please help me out?
Many thanks!