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106年 - 106 國立臺灣大學_碩士班招生考試:統計學(c)#122754
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2. (10 points)Show that -1 ≤ ρ ≤ 1 where ρ is the coefficient of correlation.
其他申論題
(c) The median of X.
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(a) What is the probability that at least one accident will occur on a given blizzard day?
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(b) Suppose there are five blizzard days this winter. What is the probability that two out of these five blizzard days are accident free? Assume that accident occurrence between blizzard days are statistically independent.
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1. (10 points)A random sample of 20 students yielded a mean of = 72 and a variance of s² = 16 for scores on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 98% confidence interval for σ².
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(a)Assume the samples are paired.
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(b)Assume the samples are not paired.
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(c)The pairing of samples usually leads to smaller a CI. Explain why.
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(a)Use the approach of hypothesis testing with α=0.10.
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(b)Use P-value approach.
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(a)E(X+Y)
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