STAT 302 Section 503 Fall 2017 Exam 1 Form A Instructor Raanju Sundararajan Name 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 mark your 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 the exam 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 20 answers then turn in JUST your scantron 7 All the very best 1 STAT 302 sec 503 Exam 1 Form A Fall 2017 1 According to the 2004 census in 2004 the mean house4 If we know that a distribution is skewed to the right hold income in the US was 60 528 with a standard which of the following is true deviation of 25 040 This distribution is very right A The mean is smaller than the median skewed A random sample of 1 000 households was B Outliers would most likely be to the left selected and the mean income for this sample was C The histogram would be shorter on the left 55 200 Which are statistics and which are parameD None of the above are true ters E A and B are true A Parameters 60 528 and 25 040 Statistics ANS D 55 200 and 1000 B Parameters 55 200 and 1000 Statistics 60 528 5 Assume the event of a student falling asleep during a and 25 040 STAT 302 class is independent from week to week If C Parameters 60 528 and 25 040 Statistic the probability of this event is 20 what is the prob 55 200 ability that the student falls asleep during the third D Parameters 60 528 and 25 040 and 55 200 and week s class given that the student did not fall asleep 1000 There are no statistics in the previous weeks classes E Statistics 60 528 and 25 040 and 55 200 and A Since the events are independent it s the product 1000 There are no parameters of their probabilities 0 203 ANS C B Since the events are independent it s still 0 20 C Since it s a conditional probability it s 0 203 0 20 2 In a study about Texas A M students liking towards D Since the events are independent it s the sum of different kinds of pets the students were asked to pick the probabilites 0 20 0 20 0 20 0 60 either Dog Cat or Other The results were categorized according to gender and the table below shows the reANS B sults 6 The final scores of students in a class are normally distributed with mean 76 and variance 36 To get a C Gender Dogs Cats Other Total students need to score 70 or above To get a B stuMale 150 500 300 950 dents needs to score 80 or above To get an A students Female 200 400 250 850 needs to score 90 or above If I already know that a Total 350 900 550 1800 particular student has got a C or above what is the probability that the student got an A Match your What is the chance that for a Male student the liking answer up to 3 decimal places is towards Dogs A B C D E 150 1800 950 1800 150 350 150 950 None of the above A B C D E ANS D ANS 3 In the same study what is the proportion of students who do not like Dogs or Cats A B C D E 0 1587 0 0099 0 9901 0 0117 None of the above In a drug trial 80 of the people comply with the trial Of those who comply 70 are cured Of the ones who don t comply only 20 are cured Use this scenario to answer the next 2 questions 300 1800 250 1800 550 1800 0 4 None of the above 7 What is the chance that a random person will comply and be cured A 0 56 ANS C B 0 80 C 0 70 D 0 30 E 0 16 ANS A 2 STAT 302 sec 503 Exam 1 Form A 8 Of the people who are cured what proportion of them complied with the testing Fall 2017 A 0 070 B 0 70 C 0 80 D 0 93 E 0 99 ANS D 11 Which of the following is true about the boxplots above which show the distribution of heights for mothers and their daughters 9 For a certain dataset you are told that the standard deviation s 0 What else can you say about the dataset A B C D E A Daughters are taller than their mothers B The median height is the same for mothers and daughters C Heights of mothers constitute a symmetric distribution D All of the above are true E None of the above are true the mean x 0 the median M 0 the IQR 0 All of the above are true Two of the above are true ANS C ANS C 12 West Palm Beach FL experiences a lot of rainfall every year The probability of rain during the month of October is 0 6 Also given that any particular month experiences rain there is a 40 chance for the immediately following month to also experience some rain What is the probability that it rains during both October and November in West Palm Beach A B C D E 0 6 0 4 0 6 0 4 0 4 0 6 0 6 0 6 None of the above ANS A 10 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 median for B B The third quartile Q3 for B is smaller than Q3 for A C The median Q2 for A is smaller than the median for B D The first quartile Q1 for both the variables is the same E None of the above are true ANS C 3 Exam 1 Form A Fall 2017 15 Given that a family has taken at least 2 vacations in past 2 years find the probability that it has taken at most 3 vacations in past 2 years STAT 302 sec 503 A B C D E 0 50 0 90 0 05 0 95 0 10 ANS B 16 Given that a family has taken at least 2 vacations in past 2 years find the probability that it has taken at most 3 vacations in past 2 years 13 How strong is the correlation in the graph above A B C D E A B C D …