# hypothesis testing

• May 28th 2008, 08:30 PM
trukka
hypothesis testing
A die is rolled 60 times and the average number showing on the face is 2.5. Use a hypothesis test to show whether or not the die is loaded. Assume a=0.05. (Hint: Find the asymptotic distribution)

I know that the distribution is asymptotically normal. But what would my null and alternative hypothesis be? Is it Ho:Population mean equals 3.5 and H1: Mean does not equal 3.5? Or is it Ho: Population mean equals 3.5 and H1: Mean equals 2.5?
• May 29th 2008, 06:19 AM
CaptainBlack
Quote:

Originally Posted by trukka
A die is rolled 60 times and the average number showing on the face is 2.5. Use a hypothesis test to show whether or not the die is loaded. Assume a=0.05. (Hint: Find the asymptotic distribution)

I know that the distribution is asymptotically normal. But what would my null and alternative hypothesis be? Is it Ho:Population mean equals 3.5 and H1: Mean does not equal 3.5? Or is it Ho: Population mean equals 3.5 and H1: Mean equals 3?

Ho:Population mean equals 3.5 and H1: Mean does not equal 3.5?

RonL
• May 29th 2008, 11:09 AM
trukka
thanks... does anyone know how I'd answer this using the Neyman-Pearson Lemma?