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1. Suppose that X1, . .. , X,1 are independent and identically distributed N01, 02) ranciom variables where o2 is known. Data are subsequently observed

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1. Suppose that X1, . .. , X,1 are independent and identically distributed N01, 02) ranciom variables where o2 is known. Data are subsequently observed and a 95% condence interval for ,u is calculated to be (1, 2). Consider the following two statements: . . . 1.960 ' 1.960 _ (A) The interval (1,2) is an instance of ]P (p E (X 75-,X + 717)) 0.95. (B) The calculated interval means that P (p e (1, 2)} = 0.95. Give a short explanation for what each statement is saying and indicate which provides a correct interpretation of the 95% condence interval

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