(OVER for problems 8 and 9) 8. The following experiment was designed to measure difference in pulse rate for 15 people in 3 different age groups. The values are as follows: Group 18-30 Group 31-45 Group 46-60 72 79 85 65 73 79 68 72 76 70 78 88 73 80 89 Assume that the data represent 3 independent random samples and that the underlying population distribution in each group is normal. a. State the hypotheses for the analysis to be used to examine the difference between the means of the 3 groups b. Determine the significance and disposition of the null hypothesis C. Plot the error bars with the 95% confidence interval 9. Use the following data to run the Chi-square test of independence. Find the expected frequencies and determine the df and using significance p 0.05, state the conclusion of the analysis as to whether the 2 variables are independent or related. Females Males successful treatment 90 60 failed treatment 20 30 4. The following data is given for 6 students who took a pre-test and post-test in a course: student pre-test post-test 80 88 60 79 56 62 UAWN 73 75 70 74 82 86 a. state the hypotheses for determining if there a significant increase in the test scores b. find the t-value, df, and significance value to test if the p-value for significance is