Answer Happy

2. For the survey results described in the previous question, the mean and variance of satisfaction of "Female" and "Male" are listed in the Table 2 if "Dissatisfied", "Neutral", and "Satisfied" coded as 1, 2, and 3 points. Table 2. Descriptive statistics of consumer's satisfaction with gender differences Satisfaction Gender Female Male Total N 100 100 200 Mean 2.3 1.7 2.0 SD 0.644 0.644 0.709 Variance 0.414 0.414 0.503 (1) What is the 95%CI of the population mean of satisfaction of "Female" and of "Male" (tailed probability: 1.025(99) ±1.98; t.05(99) ±1.66)? (5 points) (2) Is there a difference of satisfaction between "Female" and "Male" using a t-test (α=.05)? please describes Ho, H₁ and test statistic with your conclusion. (10 points) (3) Follow the previous question, whether the t-test violates the assumption of homogeneity of variance or not? Please explain. (5 points) (4) If we use F-test to replace the previous t-test, what are the F-statistic value and degree of freedom? (5 points) (5) Using the information in Table 2 and regresses the "Satisfaction" on "Gender" (Male coded as 1, Female coded as 0), what are the slope and intercept of regression equation? (5 points) (6) Whether the Durbin-Watson Statistic is appropriate to test for the autocorrelation of residuals in this regression analysis? Please explain. (5 points) (7) Whether this regression analysis involve the issue of multicollinearity? Please explain. (5 points) (8) If researcher also collected "Age" data of the 200 customers. To test the interaction effect of "Age" and "Gender" on the consumer's satisfaction, what kinds of statistical method could be applied while the age is treated as (a) continuous variable and (b) categorical variable? Please explain. (10 points)