Mood and Food. In a study of the effects of mood on evaluation of nutritious food, 208 subjects were randomly assigned to read either a happy story (to induce a positive mood) or a control (no story, neutral mood) group. Subjects were then asked to evaluate their attitude toward a certain food on a nine- point scale, with higher numbers indicating a more positive attitude toward the food. The following table summarizes data on the attitude rating: Group n E 5 Positive 104 4.30 2.05 mood Neutral 104 5.50 1.74 mood 1. Assume nonequal variance of the two groups, answer the following questions: a. What are the standard errors for the sample means of the two groups? b. What degrees of freedom is the two-sample t procedures for these data? c. What's the t* value for 95% condence interval, report the 95% condence interval. (:1. Test the null hypothesis of no difference between the two group means against the two-sided alternative. Give HO, Ha, test-statistic, p-value and the conclusion of the hypothesis test. 2. Assume the two groups have equal variance, answer the questions again. a. What are the standard errors for the sample means of the two groups? b. What degrees of freedom is the two-sample t procedures for these data? c. What's the t* value for 95% condence interval, report the 95% condence interval. d. Test the null hypothesis of no difference between the two group means against the two-sided alternative. Give test-statistic, p-value and the conclusion of the hypothesis test