Question 4 (Mandatory) (30 points) The mean final exam score of 35 students who had calculus in high school is 77.3 (with a standard deviation of 6.8); while the mean exam score of 23 students who had not had calculus in high school is 73.6 (with a standard deviation of 7.4). You want to compare these two means; answer the following questions. A) What is the standard error for a confidence interval? B) At a 95%% confidence, what is the margin of error? C) What is the upper limit of a 95% confidence interval? D) What is the lower limit of a 95%% confidence interval? E) If you want to complete a 5%% significance test that the mean exam scores of these two groups are NOT equal, does the evidence support or reject the null hypothesis? Question 5 (Mandatory) (12 points) Which of the following (may be more than one answer) is a requirement for using a pooled two-sample test? Each population must be near normally distributed. Sample sizes must be the same. Significance level must be 5%%. Population standard deviations for each group must be the same. Question 6 (Mandatory) (6 points) The mean final exam score of 35 students who had calculus in high school is 77.3 (with a standard deviation of 6.8); while the mean exam score of 23 students who had not had calculus in high school is 73.6 (with a standard deviation of 7.4). In a test comparing the two means, what would be the appropriate number of degrees of freedom? 35 56 O 29 O 34 O 23 O 22