1st Practice exam for EXAM 1 Past Exam 1 Spring 2016 Dr Liang 1 For which variable calculating the mean making statistical sense a b c d e gender of TAMU students amount of calorie intake UIN of TAMU students rating of a merchandise in www Amazon com area code of phone numbers 2 Below are the IQ test scores of 10 first grade students 76 95 98 98 102 108 115 117 125 148 Identify if there is any potential outlier s of these IQ test scores a b c d e There is no potential outlier Both 76 and 148 are potential outliers Only 76 is a potential outlier Only 148 is a potential outlier There is not enough information to identify potential outliers 3 Which boxplot matches the histogram 8 7 6 a b c d e Boxplot A Boxplot B Boxplot C Boxplot D None of them matches 6 5 4 4 3 2 2 1 0 0 0 5 A B C D 4 Sale of eggs that are contaminated with salmonella can cause food poisoning among consumers A large egg producer takes an SRS of 200 eggs from all the eggs shipped in one day The laboratory reports that 11 of these eggs had salmonella contamination Unknown to the producer 0 2 of all eggs shipped had salmonella In this situation a b c d e 0 2 is a parameter and 11 is a statistic 11 is a parameter and 0 2 is a statistic both 0 2 and 11 are statistics both 0 2 and 11 are parameters 0 2 is a statistic and a parameter 1st Practice exam for EXAM 1 Past Exam 1 Spring 2016 Dr Liang 5 The volume of oxygen consumed in liters per minute while a person is at rest and while he or she is exercising running on a treadmill was measured for each of 50 subjects The goal is to determine if the volume of oxygen consumed during aerobic exercise can be estimated from the amount consumed at rest In this study the response variable is the a volume of oxygen consumed at rest b volume of oxygen consumed while exercising c volume consumed at rest or while exercising It doesn t matter which is considered the response d measuring instrument used to measure the volume consumed e time spend on exercising 6 The following is a histogram of the number of seeds produced by a sample of 50 plants Each bar includes the right boundary value The median number of seeds produced is a b c d e more than 40 and less than or equal to 50 more than 20 and less than equal to 30 more than 30 and less than or equal to 40 more than 10 and less than equal to 20 not possible to determine from this histogram 7 Which one of the statements below correctly reports a correlation coefficient a b c d e The correlation between height and weight is 0 568 inches per pound The correlation between height and weight is 0 568 The correlation between breed of dog and its weight is 0 435 The correlation between gender and age is 0 171 If the correlation between blood alcohol level and reaction time is 0 73 then the correlation between reaction time and blood alcohol level is 0 73 1st Practice exam for EXAM 1 Past Exam 1 Spring 2016 Dr Liang 8 A survey of 1500 American households found that 33 of the households own a computer Identify the population a b c d e All American households owning a computer The 33 of the 1500 households sampled that own a computer The 1500 American households surveyed All American households 33 of American households 9 A researcher states that the survival time of an organism is negatively related to the amount of a specific pollutant present in the ecosystem This means that a b c d above average amounts of pollutant tend to accompany below average survival times above average amounts of pollutant tend to accompany above average survival times below average amounts of pollutant tend to accompany below average survival times below average amounts of pollutant can be accompanied by either above or belowaverage survival times e above average amounts of pollutant can be accompanied by either above or belowaverage survival times A college examined the impact of an applicant s ethnicity on the likelihood of admission to a particular program The data are summarized in the table below Answer the following two questions Black Hispanic Asian White Total Accepted 312 107 330 749 Wait listed 10 53 249 312 Rejected 80 135 352 567 Total 402 295 931 1628 10 What graph could be made to represent the relationship between the ethnicity and the admission decision a b c d e boxplot scatterplot pie chart bar graph histogram 11 What percent of white students were accepted a b c d e 44 1 35 4 46 0 41 7 37 8 1st Practice exam for EXAM 1 Past Exam 1 Spring 2016 Dr Liang 12 The amount of time that a person wait for a bus is uniformly distributed between 0 and 15 minutes What is the probability that a person will wait longer than 12 minutes a b c d e 0 7 0 8 0 4 0 6 0 2 Microcephaly is a condition in which infants are born with a very small head and a small brain About 4 in 30 000 newborns are affected by microcephaly while the chance that a baby is born with microcephaly given that his mother was infected with the Zika virus during the pregnancy is 0 72 Probability that a person is infected with the Zika virus is 0 00005 5 in every 100 000 people Answer the next two questions 13 What is the probability that a baby is born without microcephaly given that his her mother was infected with the Zika virus during the pregnancy a b c d e 0 1452 0 2016 0 0002 0 0016 0 28 14 What is the chance that a woman was infected with the Zika virus given that she has delivered a baby with microcephaly a b c d e 0 0685 0 1882 0 0001 0 27 We do not have enough information to compute this probability 1st Practice exam for EXAM 1 Past Exam 1 Spring 2016 Dr Liang 15 A production process when functioning as it should will still produce 2 defective items A random sample of 10 items is to be selected from the 10000 items produced in a particular production run Let X be the count of the number of defective items found in the random sample What can be said about the variable X a We can use a Normal distribution with a mean of 200 and a standard deviation of 14 as an approximation for the distribution of X b X is approximately Normal with a mean of 10 and a standard deviation of 0 44 c X has an approximate binomial distribution with parameters 10000 and 0 01 d X has an approximate binomial distribution …