STAT 302 Section 503Fall 2017Exam #1Form AInstructor: Raanju SundararajanName:1. DO NOT open this until you are told to do so.2. You need a 8.5 × 11” GRAY scantron, pencil, calculator and you may have one page as a tip sheet(formula sheet).3. There are 20 multiple-choice questions on this exam, each worth 5 points. There is NO partial credit. Please markyour answers clearly. Multiple marks will be counted wrong.4. You will have 60 minutes to finish this exam.5. If you are caught cheating or helping someone to cheat on this exam, you both will receive a grade of zero on theexam. You must work alone.6. When you are finished please make sure you have filled in your name and marked your FORM (A or B) and 20answers, then turn in JUST your scantron.7. All the very best!1STAT 302 sec 503 Exam #1, Form A Fall 20171. According to the 2004 census, in 2004 the mean house-hold income in the US was $60,528 with a standarddeviation of $25,040. This distribution is very rightskewed. A random sample of 1,000 households wasselected and the mean income for this sample was$55,200. Which are statistics and which are parame-ters?A. Parameters: $60,528 and $25,040, Statistics:$55,200 and 1000B. Parameters: $55,200 and 1000, Statistics: $60,528and $25,040C. Parameters: $60,528 and $25,040, Statistic:$55,200D. Parameters: $60,528 and $25,040 and $55,200 and1000. There are no statisticsE. Statistics: $60,528 and $25,040 and $55,200 and1000. There are no parametersANS: C2. In a study about Texas A&M students’ liking towardsdifferent kinds of pets, the students were asked to pickeither Dog, Cat or Other. The results were categorizedaccording to gender and the table below shows the re-sultsGender Dogs Cats Other TotalMale 150 500 300 950Female 200 400 250 850Total 350 900 550 1800What is the chance that for a Male student, the likingis towards Dogs?A. 150/1800B. 950/1800C. 150/350D. 150/950E. None of the above.ANS: D3. In the same study, what is the proportion of studentswho do not like Dogs or Cats?A. 300/1800B. 250/1800C. 550/1800D. 0.4E. None of the aboveANS: C4. If we know that a distribution is skewed to the right,which of the following is true?A. The mean is smaller than the median.B. Outliers would most likely be to the left.C. The histogram would be shorter on the left.D. None of the above are true.E. A and B are true.ANS: D5. Assume the event of ”a student falling asleep during aSTAT 302 class” is independent from week to week. Ifthe probability of this event is 20%, what is the prob-ability that the student falls asleep during the thirdweek’s class given that the student did not fall asleepin the previous weeks’ classes?A. Since the events are independent, it’s the productof their probabilities, 0.203.B. Since the events are independent, it’s still 0.20.C. Since it’s a conditional probability, it’s 0.203/0.20.D. Since the events are independent, it’s the sum ofthe probabilites, 0.20 + 0.20 + 0.20 = 0.60.ANS: B6. The final scores of students in a class are normally dis-tributed with mean 76 and variance 36. To get a C,students need to score 70 or above. To get a B, stu-dents needs to score 80 or above. To get an A, studentsneeds to score 90 or above. If I already know that aparticular student has got a C or above, what is theprobability that the student got an A? (Match youranswer up to 3 decimal places)A. 0.1587B. 0.0099C. 0.9901D. 0.0117E. None of the above.ANS:In a drug trial, 80% of the people comply with the trial.Of those who comply, 70% are cured. Of the ones whodon’t comply, only 20% are cured. Use this scenario toanswer the next 2 questions.7. What is the chance that a random person will complyand be cured?A. 0.56B. 0.80C. 0.70D. 0.30E. 0.16ANS: A2STAT 302 sec 503 Exam #1, Form A Fall 20178. Of the people who are cured, what proportion of themcomplied with the testing?A. 0.070B. 0.70C. 0.80D. 0.93E. 0.99ANS: D9. For a certain dataset, you are told that the standarddeviation, s = 0. What else can you say about thedataset?A. the mean, x = 0B. the median, M = 0C. the IQR = 0D. All of the above are true.E. Two of the above are true.ANS: C10. There are two variables A(Boxplot) and B(histogram).Which of the following is true?A. The median(Q2) for A is bigger than the medianfor B.B. The third quartile(Q3) for B is smaller than Q3for A.C. The median(Q2) for A is smaller than the medianfor B.D. The first quartile(Q1) for both the variables is thesame.E. None of the above are true.ANS: C11. Which of the following is true about the boxplots abovewhich show the distribution of heights for mothers andtheir daughters?A. Daughters are taller than their mothers.B. The median height is the same for mothers anddaughters.C. Heights of mothers constitute a symmetric distri-bution.D. All of the above are true.E. None of the above are true.ANS: C12. West Palm Beach(FL) experiences a lot of rainfall ev-ery year. The probability of rain during the month ofOctober is 0.6. Also, given that any particular monthexperiences rain, there is a 40% chance for the imme-diately following month to also experience some rain.What is the probability that it rains during both Oc-tober and November in West Palm Beach?A. 0.6 × 0.4B. 0.6/0.4C. 0.4/0.6D. 0.6 + 0.6E. None of the above.ANS: A3STAT 302 sec 503 Exam #1, Form A Fall 201713. How strong is the correlation in the graph above?A. strongly negativeB. moderately negativeC. weakD. moderately positiveE. No relationship.ANS: DIn a neighborhood consisting of 100 households, a sur-vey has been done to see how frequently those familiestook vacation in recent years. For each family, the sur-veyor noted the number of vacations the family went toin last 2 years. The collected data are summarized inform of the following table:No. of vacations taken No. of families0 101 402 203 254 or more 5Now, based on the above dataset, answer the next 2questions.14. For a randomly selected family from this neighborhood,what is the probability that this family has taken atleast 2 vacations in past 2 years?A. 0.50B. 0.20C. 0.30D. 0.70E. 0.80ANS: A15. Given that a family has taken at least 2 vacations inpast 2 years, find the probability that it has taken atmost 3 vacations in past 2 years?A. 0.50B. 0.90C. 0.05D. 0.95E. 0.10ANS: B16. Given that a family has taken at least 2 vacations inpast 2 years, find the probability that it has taken atmost 3 vacations in past 2 years?A. 0.50B. 0.90C. 0.05D. 0.95E. 0.10ANS: B17. Red pandas are considered overweight if they weighmore than