Hypotheses Testing-Randomised Test (ISS Statistics Paper II (Old Subjective Pattern)): Questions 1 - 2 of 2

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Question number: 1

» Hypotheses Testing » Randomised Test

Appeared in Year: 2014

Essay Question▾

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Bring out the difference between a randomized and non-randomized test. Explain how the decision based on a randomized test can be taken in the discrete set-up.

Explanation

A test T of a hypothesis H is said to be non-randomized test if the decision about the rejection or acceptance of H is based on a test statistic. H is rejected if the test statistic lies in the critical region otherwise accepted. A randomized test is one in which… (87 more words) …

Question number: 2

» Hypotheses Testing » Randomised Test

Appeared in Year: 2014

Essay Question▾

Describe in Detail

X chart is used to control the mean of normally distributed characteristic. It is know that σ=6andn=4 . The center line is 200. If the process mean shifts to 188, find the probability that this shift is detected on the first subsequent sample.

Explanation

Type II error is the probability of saying that the process is under control when it is not under control, that is, the probability of a point falling within control limits after the shift the mean. This is also known as the probability of not detecting the shift after shift… (177 more words) …

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