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Predict interval coverage and plan a width reduction

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Question 1 of 8

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A two-sided 95% mean-confidence procedure uses iid normal observations with known positive population SD. Its unrounded intervals therefore have exact coverage 19/20. Repeat the procedure with 231 fresh independent samples from the same population. Find the expected numbers of intervals containing and missing the fixed population mean. Give exact values; an expectation need not be an integer

2 marks

Find both expected counts under the stated coverage model