107年 - 107 東吳大學_碩士班招生考試_企業管理學系(B組)：統計學#111185

選擇題 (15)

複選題
1. According to the central limit theorem, (A) The population mean and the mean of all sample means are equal. (B) Increasing sample size decreases the dispersion of the sampling distribution. (C) The sampling distribution of the sample means is approximately normally distributed. (D) The sampling distribution of the sample means will be skewed.

2. If 95% and 98% confidence intervals were developed to estimate the true cost of a MP3 player microwave, what differences would they have? (A) Standard errors (B) Interval widths (C) Z-statistic(D) Both b and c

3. A student was studying the political party preferences of a university's student population. The survey instrument asked students to identify their political preference, for example, democrat, republican, libertarian, or other party. The best way to illustrate the frequencies for each political preference is (A) Bar chart. (B) Pie chart. (C) Histogram. (D) Frequency polygon.

4. According to the Chebyshev rule, at least 75% of all observations in any data set are contained within a distance of how many standard deviations around the mean? (A) 1 (B) 2 (C) 3 (D) 4

5. A manufacturer of flashlight batteries took a sample of 130 batteries from a day's production and used themn continuously until they were drained. The number of hours until failure are recorded. Given below is the boxplot of the number of hours it took to drain cach of the 130 batterics. The distribution of the number of hours is

(A) right-skewed (B) left-skewed (C) symmetrical (D) none of the above

6. If the critical z-value for a test statistic equals 2.45, what value of the test statistic would provide the least chance of making a Type I error? (A) 3.74 (B) 10,000 (C)2.46 (D)4.56

7. In multiple regression analysis, when the independent variables are highly correlated, this situation is called_________. (A) Autocorrelation (B) Multicollincarity (C) Homoscedasticity (D) Curvilinearity

8. The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent. The 0.95 degree of confidence is to be used. A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21. To update this study, the files of how many junior executives should be studied? (A) 594 (B)612 (C) 709 (D) 897

9. A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 217, 218 and 218. At the 0.025 level, has the shelf life of the cake mix increased? (A) Yes, because computed t is greater than the critical value. (B) Yes, because computed t is less than the critical value. (C) No, because computed t lies in the region of acceptance. (D) No, because 217.24 is quite close to 216.

10. When testing the difference between two dependent population means, the test statistic is based on a (A) pooled variance. (B) standard deviation of the differences. (C) pooled proportion. (D) sumn of the population variances.

11. The results of a mathematics placement exam at two different campuses of Mercy College follow:
What is the computed value of the test statistic? (A) 9.3 (B)2.6 (C)3.4 (D) 1.9

(1) Using 0.05 as the significance level, what is the critical value for the test statistic? (A) 9.488 (B)5.991 (C)7.815 (D)3.841

(2) What is the value of the test statistic? (A)83.67 (B)9.89 (C)50 (D)4.94

(3) Based on the analysis, what can be concluded? (A) Driving behavior and gender are correlated. (B) Driving behavior and gender are not related. (C) Driving behavior and gender are related. (D) No conclusion is possible.

13. A recent study focused on the amount of money single men and women save monthly. The information is summarized below. Assume that the population standard deviations are equal.

At the .01 significance level, do women save more money than men? (A) Reject the null hypothesis and conclude that women save more than men. (B) Reject the null hypothesis and conclude that women and men save the same amount. (C) Fail to reject the null hypothesis and conclude that women save the same or less than men. (D) Fail to reject the null hypothesis and conelude the means are different.

申論題 (15)

1.Sampling error can be completely eliminated by taking larger sample sizcs.(2 分)

2. In frequency distributions, classes are collectively exhaustive if each individual, object, or measurement is included in only one category. (2 分)

3. Place these variables in the following classification tables. For each table, summarize your observations and evaluate if the results are generally true. For example, salary is reporred as a continuous quantitative variable. It is also a continuous ratio-scaled variable. (8 分)
a. Hair color b. Rating of a Finance Professor c. Dress size d. Number of patients seen