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100年 - 100 淡江大學 轉學考 統計學#55913

科目：研究所、轉學考(插大)◆統計學 | 年份：100年 | 選擇題數：3 | 申論題數：5

試卷資訊

所屬科目：研究所、轉學考(插大)◆統計學

選擇題 (3)

複選題
1. Which of the following statements is not a property of the normal curve? (A) bell shaped (B)  (C) (D) The normal probability plot will produce close to a straight line 
2. I want to test H0：μ = 15 vs. Ha:μ≠15 using a test of hypothesis. If I concluded that ju is 15 when，in fact，the true value of μ is not 15，then I have made a____ (A) Type I error (B) Type II error (C) correct decision (D) Type I and Type II error
3. If a least squares line were determined for the data set in each scatter plot，which would have the smallest variance?
 (A) (B) (C) (D)

申論題 (5)

1. State the four basic assumptions about the general form of the probability distribution of the random error 8 in the linear regression model. (8 %)
【已刪除】2. Independent random samples，each containing 500 observations were selected from two binomial populations. The samples from populations 1 and 2 produced 210 and 320 successes， respectively. Test (16 %)
【已刪除】3. A new weight-reducing technique is tested before its introduction into the market. The weights of a random sample of five people are recorded before they are introduced to this diet. The five individuals are then instructed to follow the diet for 3 weeks. At the end of this period，their weights (in pounds) are again recorded. The results are:
Test to determine if this diet is effective at reducing weight. Use a = 0.10. (16%)
4. A random sample of 250 students at a university finds that these students take a mean of 14.7 credit hours per quarter with a standard deviation of 2.2 credit hours. Find the 95% confidence interval for the mean credit hours taken by a student each quarter. (12 %)
【已刪除】5. A company that employs a large number of salespeople is interested in learning which of the salespeople sell the most: those strictly on commission, those with a fixed salary, or those with a reduced fixed salary plus a commission. The previous month’s records for a sample of salespeople are inspected and the amount of sales (in dollars) is recorded for each，as shown in the table. (30 %)
Test to determine if a difference exists in the mean sale amounts among the three compensation systems. Test using a = 0.025.