all, Question 1. The ages of the couple for 8 marriage licences selected at random as below. male (x): 34 46 19 22 23 27 41 20 female (y): 33 33 17 23 23 24 29 18 What is the linear correlation coefficient r_{xy}? Select one: a. 0.8976 b. -0.707 c. 0.707 d. -0.8976 Question 2. The ages of the couple for 8 marriage licences selected at random as below. male (x): 34 46 19 22 23 27 41 20 female (y): 33 33 17 23 23 24 29 18 What is the predicted age of the female on a marriage license if the male is aged 45? Select one: a. 33.7 b. 32.5 c. 15.2 d. 34 Question 3. The ages of the couple for 8 marriage licences selected at random as below. male (x): 34 46 19 22 23 27 41 20 female (y): 33 33 17 23 23 24 29 18 Test at the 0.05 level to see whether there is a significant correlation between the ages. The conclusion is Select one: a. There is sufficient evidence to conclude that there is a correlation between the ages. b. There is insufficient evidence to conclude that there is a correlation between the ages. Question 4. Which one of the following is not true about the linear coefficient r? Select one: a. The value of r does not change if all values of either variable are converted to a different scale. b. It measures the strength of a relationship that is not linear. c. The value of r will not change when interchange all x and y values. d. Its value must always fall between -1 and 1. Question 5. The ages of the couple for 8 marriage licences selected at random as below. male (x): 34 46 19 22 23 27 41 20 female (y): 33 33 17 23 23 24 29 18 The equation of the regression line using the age of the male to predict the age of the female is Select one: a. y= -9.265 + 0.543x b. y= 9.265 - 0.543x c. y= 9.265 + 0.543x d. y= -9.265 - 0.543x Question 6. An observed frequency distribution is as follows. Number of successes 0 1 2 3 Frequency 5 30 42 23 Let X= the number of successes in the samples. Use a 0.01 significance level to test the claim that the observed frequencies fit a binomial distribution for which n=3 and p=2/3. What is the value of the critical value chi_square_c? Select one: a. 11.344 b. 13.277 c. 9.210 d. 0.115 e. 10.597 Question 7. An observed frequency distribution is as follows. Number of successes 0 1 2 3 Frequency 5 30 42 23 Let X= the number of successes in the samples. Use a 0.01 significance level to test the claim that the observed frequencies fit a binomial distribution for which n=3 and p=2/3. What is the value of the test statistics chi_square? Select one: a. 4.4058 b. 0 c. None of the other anwers is correct. d. 4.7938 e. 112.1015 Question 8. To test whether GENDER (male and female) and NUMBER OF ABSENCES are related, we use the following table. Number of absences 0 1-2 3-5 6+ Gender male 18 18 16 8 female 22 12 4 2 Total: 100. Assume that the sample data are randomly selected. To perform the test, the expected value for each cell is required to be at least 5. Using on this condition, what is the degree of freedom (used to compute the critical value chi_square_c)? Select one: a. 3 b. 0 c. 1 d. 2 e. 4 Question 9. An observed frequency distribution is as follows. Number of successes 0 1 2 3 Frequency 5 30 42 23 Let X= the number of successes in the samples. Assume that X has a binomial distribution with n=3 and p=2/3, use the binomial probability formula, what is the expected value corresponding to the category X=1? Select one: a. 3.7037 b. 44.4444 c. None of the other anwers is correct. d. 29.6296 e. 22.2222 Question 10. This question refers to a sweepstakes promotion in which respondents were asked to select what color car they would like to receive if they had the winning number. For a random sample of respondents the choices were 24 blue (B), 34 green(G), 66 red(R), and 36 white(W). Test at the 0.05 level the claim that the population prefers each colour equally. The null hypothesis for this test is Select one: a. p_{male} = p_{female} b. The population and the colour are related c. The population and the colour are independent d. p_B = p_G = p_R = p_W = 1/2 e. p_B = p_G = p_R = p_W = 1/4