Question: We observe a single data point Y ~ Normal (0,s) H0: s= 3 v. H1: s = 4. Let k = threshold which you would

We observe a single data point Y ~ Normal (0,s)

H0: s= 3 v. H1: s = 4.

Let k = threshold which you would choose H0 whenever the likelihood ratio is > than k.

In terms of k what values of Y would you choose H0 or H1?

If k=1, what is the type 1 error rate?

(Hint: You may need to first calculate the H0 against H1 likelihood ratio first)

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