The random variable X is normally distributed with unknown mean p and known variance a2 = 225.

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The random variable X is normally distributed with unknown mean p and known variance a2 = 225. A sample of size N = 9 from X is observed, with the sample values 42, 56, 68, 56, 48, 36, 45, 71, and 64.

(a) Compute the sample mean and sample variance.

(b) Name three intuitively reasonable point estimators for p, and determine the corresponding estimates from the above data.

(c) Which of the three estimators given in

(b) would you prefer? Why?

(d) Find an 80 percent confidence interval for p.

(e) Find a 95 percent confidence interval for p.

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Statistics Probability Inference And Decision

ISBN: 9780030778056

1st Edition

Authors: Robert L. Winkler, William L. Hays

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Question Posted: Sep 21, 2024 09:02 AM

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The random variable X is normally distributed with unknown mean p and known variance a2 = 225.

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Statistics Probability Inference And Decision

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