110年 - 110 國立政治大學_碩士班暨碩士在職專班招生考試_統計學系:統計方法#102919

(a) Construct a 95% confidence interval for the mean driving distance using design A.(6%)

(b) Test the equality of the population variances of driving distance between designs A and B.(7%)

(c) Test the equality of the population means of driving distance between designs A and B.(10%)

(d) If the total sum of squates is 10125.87, then test whether the mean driving distance is the same for all three designs. (12%)

(a) Write a lineat regression model with both D₁ and D₂ to fit these data, explain cach of the terms, and stat the assumptions necessary for the model.(8%)

b) Find the coefficient estimates of constant, D₁, and D₂.

(c) Explain the meanings of the estimated coefEcients for D₁ and D₂. (6%)

(d) Show the significances of the coefficient estimates for D₁ and D₂. (8%)

(e) What is the value of the adjusted R²?

3.(20%) A salesperson makes four calls per day. A sample of 100 days gives the following frequencies (days) of sales volumes.

Assuming independent sales calls, the numbet of successful sales pet day should follow a binomial distribution and the sales tate resulted from 30% of all sales calls. Use the goodness of ft test to determinant whether the assumption of a binomial probability distribution should be rejected.

(a) What is the probability that the male patient has prostate cancer if the PSA test comes back negative? (5%)

(b) What is the probability that the male patient has prostate cancer if the PSA test comes back positive? (5%)

110年 - 110 國立政治大學_碩士班暨碩士在職專班招生考試_統計學系:統計方法#102919

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