Write down the equations needed to determine the sample size n and
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Write down the equations needed to determine the sample size n and

Question 4:


a) Formulate the likelihood ratio test for testing 

b) Write down the equations needed to determine the sample size n and the critical value c such that the size of the test is 0.05 and the probability of type-II error when u =2.5 is 0.1. (note: only the equations are needed, no table checking is needed.)

c) If we took 16 samples and observed  and the population standard deviation is 0.5, compute the p-value based on the data for the test in a). Will you reject H0 at level a-0.05 based on the p-value calculated?


Hint
 The Likelihood Ratio denotes the likelihood that an assumed test result would be projected in a targeted sample compared to the result that would be expected in non-targeted sample. In statistics, the LR test assesses the decency of apt of two opposing statistical models based on their probabilities...
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