15. Suppose you got data of "Hight in centimeter" and "Weight in kilogram" from all students in an elementary school and you want to investigate the association between the height and weight. Which of the following is/are NOT appropriate?
(A) Conduct a line chart to visualize their association；
(B) Estimate a correlation coefficient, which ranges from -1 to +1；
(C) Conduct a t-test to compare whether height and weight are statistically different；
(D) Develop a simple linear regression model and detect whether the slope is significantly different from 0；
(E) Estimate the coefficient of determination from the simple linear regression model.

複選題1. Which of the following is/are included in the field of statistics? (A) Collecting data；(B) Analyzing data； (C) Presenting data； (D) Interpreting data； (E) None of above.

複選題2. Which of the following descriptions is/are INCORRECT? (A) "Phone number" is a nominal variable； (B) "Temperature in Celsius" is a ratio variable； (C) "Cancer stage" is an interval variable； (D) "Height in centimeter" is a discrete variable； (E) "Age group" is a categorical variable.

複選題3. Which of the following is/are NOT used to measure central location? (A) Arithmetic mean； (B) Interquartile range； (C) Mode； (D) Standard deviation； (E) Midrange.

複選題4. Which of the following is/are correct? (A) A "scatterplot" is good for obtaining the potential association between two numerical variables； (B) Unlike "bar graph", a "histogram" has no natural separation between rectangles of adjacent classes； (C) A "pie chart" is good for comparing the means of a numerical variable between two independent groups； (D) In a "Box-plot", the line drawn in the box indicates the location of the mean； (E) "100% stacked area chart" can be used to compare the change in distribution of a categorical variable over a period of time.

複選題5. Iftwo events X and Y are independent, which of the following conditions is/are satisfied? (A) P(Y|X)=P(Y)；(B) P(Y|X)=P(X)； (C) -P( A )+P( B )； (D) =P( A )●P( B  )；(E) None of above.

複選題6. Assume the following conditions in Taiwan: 10% of undergraduate students study abroad as part of their education. 60% of the undergraduate students who study abroad are female and 50% of the undergraduate students who do not study abroad are female. Which of the following is/are correct: (A) Given a female undergraduate student, the probability that she studies abroad is 11.76%； (B) The overall percentage of female undergraduate students is 51%； (C) The overall percentage of male undergraduate students is 50%； (D) Given a male undergraduate student, the probability that he studies abroad is 4%；(E) Given the undergraduate students who study abroad, the probability of male is 8.16%.

複選題7. Which of the following belongs to continuous probability distributions? (A) Normal probability distribution； (B) Poisson probability distribution； (C) Binomial probability distribution； (D) Exponential probability distribution； (E) Chi-square probability distribution.

複選題8. Let P[Y=x] indicate the probability of a sum of x when rolling three dice. Which of the following is/are correct? (A) P[Y=18]=1/2163 (B) P[Y=17=3/216； (C) PY=1]=1/216； (D) P[Y=3]=3/216； (E) PY＜5]=4/216.

複選題9. Cars arrive at a car wash service randomly and independently. The probability of an arrival is the same for any interval of equal length. The mean arrival rate is 4 cars per 10 minutes. Which of the following is/are correct? (A) The probability that less than 2 cars will arrive during any given 10 minutes of operation is 0.0916；(B) The probability that 5 or more cars will arrive during any given 10 minutes of operation is 0.7815； (C) The probability that more than 6 cars will arrive during any given 10 minutes of operation is 0.1107； (D) The probability that exact 9 cars will arrive during any given 10 minutes of operation is 0.0550； (E) The variance of the arrival rate per 10 minutes is 4.

複選題10. Suppose that the mean daily TV viewing time per household follows a normal distribution with a mean of 5 hours and a standard deviation of 2 hours. Which of the following is/are correct? (A) The probability that a household views TV more than 3 hours a day is 0.1587； (B) The probability that a household views TV between 4-7 hours a day is 0.5328； (C) In order to be in the bottom 10% of all TV viewing households, a household has to view TV for less than 2.44 hours a day； (D) Among a group of households that all members are obese (BMI>=35), we randomly selected a sample of 16 households to investigate whether the mean of their TV viewing time is longer than that of the population mean. We found that the sample mean was 6.5 hours. To conduct a one-tailed z-test with a-0.05, the z-score=3.(E) From ( D ), we can conclude that households with all obese members have longer TV viewing time than the population with the p-value=0.0013, based on the one-tailed z-test.

110年 - 110 國立臺灣大學_碩士班招生考試_財務金融研究所甲、丙組:商用統計學#105747

110年 - 110 國立中山大學_碩士暨碩士專班招生考試_企管系企管甲班/甲、乙、丙組選考:商用統計學#104450