Mathematics assignment
Math 80 Final Exam = 30 points Instructions: 1) This is an open notes final exam . 2) Honor policy: Do NOT share or discuss the final exam solutions with any one else ! 3) The final exam is due by 5:30 p.m. today ! NO LATE WORK will be accepted ! Copy ( or download the final exam ) on a paper and do it; take pictures of the final exam and send it to me on Canvas, and on Canvas ONLY !!! I will NOT accepted any final exam sent to me at my ccsf.edu account !!! If you can not get all the problems done, send whatever you have to me before 5:30 p.m. and you will get partial credits; Canvas will NOT let you submit the final after 5:30 p.m., then you will get ZERO point on the final !!!!!!!!! So, give yourself about 10 minutes to send the final exam to me . If you know your wifi is slow, then give yourself more time to submit the final exam by 5:30 p.m. 4) Show all your work, no work, no credit !!! 5) Remember, the class is grading on the curve .

1) An educator wants to see how the number of absences a student in his class has affects the student’s final score. The data obtained from a sample below. # of absence 10 12 2 0 8 5 Final score 70 65 96 94 75 82 Assume that the number of absences and the final scores are linearly related, find the linear correlation coefficient of the number of absences and final score.

2) In the past year, 13% of businesses have eliminated jobs. If five businesses are selected at random, find the probability that at least three have eliminated jobs during the last year. 3) A study of 800 homeowners in a certain area showed that the average value of the homes was

!$82,000 and the standard deviation was !$5,000 . If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than !$83,500 . 4) The dean of students of a college wishes to test the claim that the distribution of students is as follows : 40% business (BU); 25% computer science (CS); 15% science (SC); 10% social science (SS); 5% liberal arts (LA); and 5% general studies (GS). Last semester, the program enrollment was distributed as shown here. At !? =0.10 , is the distribution of students the same as hypothesized ? Major BU CS SC SS LA GS Number 72 53 32 20 16 7 5) A statistician claims that the average score on a test of students who major in psychology is greater than that of students who major in mathematics. The results of the test, given to 84 students who are psychology majors and 34 math majors , are shown here. Is there enough evidence to support the statistician’s claim at !? =0.01 ? Psychology Mathematics Mean = 61.2 Mean = 59.4 S.D. = 7.9 S.D. = 7.9 n = 84 n = 34 6) The probability that 0, 1, 2, 3, or 4 people will be placed on hold when they call a radio station talk show is shown in the following distribution. Find the variance and standard deviation for the data. The radio station has four phone lines. When all lines are full, a busy signal is heard. x 0 1 2 3 4 P(X) 0.18 0.34 0.23 0.21 0.04 Based on your calculation, should the radio station consider getting more phone lines installed ? WHY or WHT NOT ???