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題組內容

1. (12%) Answer or explain the following questions:

(1-C) What is "simple random sampling"? (4%)

其他申論題

(2) Find and interpret a 90% confidence interval for the slope of the population regression line. Discuss how the critical values of the confidence interval are determined. (15 points)

(3) Would the sample regression derived in part (1) be useful in predicting recovery time for a patient given 2.5 grams of this drug? Explain your answer. (5 points)

(1-A) What is the meaning of "return to the mean"? (4%)

(1-B) What is "nonparametric statistics"? (4%)

(2-A) the population is normal and n is small? (3%)

(2-B) the population is normal and n is large? (3%)

(2-C) the population is not normal but the departure from normality is not marked and n is small? (3%)

(2-D) the population is not normal and n is large? (3%)

(3-A) (6%) The number of customers who visit a car dealer's showroom on a Saturday morning is a random variable with µ=18 and σ=2.5. With what probability can we assert that there will be more than 8 but fewer than 28 customers?

(3-B) (6%) Prove that for the Poisson distribution (λ is the mean value of random variable)for x = 0, 1, 2, ......

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