## Question

###### 3_ The output of a radio signal detection system is a normal random variable N(p,1) with unknown mean /. Consider the binary simple hypotheses Ho pL = 0 VS Hi p = 0.34_A sample mean of 0.5 was obtained from n = 16 independent measurements_ At significance level 2.5%, find the rejection region of the Neyman- Pearson test and determine the outcome.Find the pvalue of the above test and determine the outcome_Find the probability of the Type II error of the test in part

3_ The output of a radio signal detection system is a normal random variable N(p,1) with unknown mean /. Consider the binary simple hypotheses Ho pL = 0 VS Hi p = 0.34_ A sample mean of 0.5 was obtained from n = 16 independent measurements_ At significance level 2.5%, find the rejection region of the Neyman- Pearson test and determine the outcome. Find the pvalue of the above test and determine the outcome_ Find the probability of the Type II error of the test in part

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