110年 - 110 國立政治大學_碩士班招生考試_企業管理研究所:統計學#102883

科目：研究所、轉學考(插大)◆統計學 | 年份：110年 | 選擇題數：0 | 申論題數：11

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所屬科目：研究所、轉學考(插大)◆統計學

選擇題 (0)

申論題 (11)

(a) Construct a box-and-whisker plot for PopDensiy. Please identify which cities or counties are possible outiers based on the resulting plot. (15%) Assume that PopDensity follows a normal distribution, and the population variances of PopDensity for municipal cities and non-municipal cities are equal. Answer the following questions.

(b) Test whether the population mean of PopDensity is greater than 620. (8%)

(c) Test whether the population means of PupDensity between municipal cities and non-municipal cities are equal on not. (12%)

(a) Explain the meaning of the coeffcient estimate for Municpaliy.(4%)

(b) Identify which explanatory variable(s) are significant. (8%)

(c) If s= 2720.15 denotes the cstimated standard ertor for regression, then complete the analysis of variance table for this regtession analysis. (12%)

(d) What is the value of the adjusted R?? (6%)

(a) If we randomly choose 4 components from supplier C, what is the probability of including 1 defective component? (5%)

(b) Construct a 95% confidence interval for the proportion of defective components from supplier A? (8%)

(c) Test the equality between the proportion of defective components from suppliet A and that proportion from supplier C. (10%)

(d) Conduct a statistical hypothesis to test the equal proportions of defective components provided by the three suppliers. (12%)