6. Using the Neymann-Pearson lemma, develop the best test to test Ho: =10 versus Ha: H = 11 based on a random sample of size 30 when sampling from a norma distribution with known variance equal to 49. Let a= 0.05 Show all work. Find the actual critical value(s).

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6. Using the Neyman-Pearson lemma, develop the best test to test:

\[ H_0: \mu = 10 \quad \text{versus} \quad H_a: \mu = 11 \]

This is based on a random sample of size 30 when sampling from a normal distribution with known variance equal to 49. Let \(\alpha = 0.05\).

Show all work. Find the actual critical value(s).
Transcribed Image Text:6. Using the Neyman-Pearson lemma, develop the best test to test: \[ H_0: \mu = 10 \quad \text{versus} \quad H_a: \mu = 11 \] This is based on a random sample of size 30 when sampling from a normal distribution with known variance equal to 49. Let \(\alpha = 0.05\). Show all work. Find the actual critical value(s).
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