Q1: In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams
and found an average score of 74 points. The student who took the make-up the following day scored 64 points on the exam. What is the new average? Does the new
student’s score increase or decrease the average score? Clearly show your calculations and any interpretations.
Q2: The smallpox data set provides a sample of 6,224 individuals from the year 1721 who were exposed to smallpox in Boston. Doctors at the time believed that
inoculation, which involves exposing a person to the disease in a controlled form, could reduce the likelihood of death.
Each case represents one person with two variables: inoculated and result. The variable inoculated takes two levels: yes or no, indicating whether the person was
inoculated or not. The variable result has outcomes lived or died. These data are summarized in the following table.
Sample Solution