000 1 0 0 1 distribution n 0 has what density in what

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Unformatted text preview: 1 � 2 1 � 2 1 − �2 0 0 �⎞ �⎞ � 1 1 0 1 0 0 � �2 �2 0 ⎜ ⎜� ⎜ 1 1 0 ⎜ � 0 2 0 ⎝ � �2 − �2 0 ⎜ . ⎝ ⎝ � 000 1 0 0 1 Distribution N (0, �) has what density in what basis? 2 2 (4) Suppose that a sample X1 , . . . , X15 � N (µx , αx ), where µx and αx are unknown, has sample mean and sample variance ¯ ¯ ¯ µx = X = 2.4, αx = X 2 − X 2 = 0.55. ˆ ˆ2 Find 95% confidence intervals for µ and α 2 . (5) In addition to the sample from problem (4) su...
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