Statistics 201 Exam 1 from Fall 2012 Practice Exam This practice exam is provided solely for the purpose of familiarizing you with the format and style of the Stat 201 exams There is no explicit or implicit guarantee that the upcoming exam will ask similar questions If you use the practice exam as your only tool to help you prepare for the upcoming exam you most likely will not do well on the exam You should still do the things you would have done if you did not have access to this practice exam such as re read the text go over your class notes re work the online homework problems and look at the list of exam topics provided and make sure that you understand all the concepts listed within it 1 1 The following represents box plots of three different groups Answer the questions below based on what you see in the image i 2 points The group with the largest overall range is circle the best answer a b c d Group 1 Group 2 Group 3 Cannot be determined from box plots ii 2 points The group with the largest IQR is circle the best answer a b c d Group 1 Group 2 Group 3 Cannot be determined from box plots iii 2 points The group that seems to have a few outliers is circle the best answer a b c d e Group 1 Group 2 Group 3 No group has any outliers Cannot be determined from box plots 2 Question 1 continued iv 2 points The group that is skewed left is circle the best answer a b c d e Group 1 Group 2 Group 3 No group is skewed left Cannot be determined from box plots v 2 points The group that is bimodal is circle the best answer a b c d d Group 1 Group 2 Group 3 No group is bimodal Cannot be determined from box plots vi 2 points What is the approximate median of Group 3 3 2 To improve their recruiting approach the admissions office wants to determine if there is a relationship between a potential student s birth order and whether they will choose to go to college in state The office decided to randomly select 370 students who are currently students at UT and the results are listed in the table below i 2 points What percentage of the students are only children and from Tennessee ii 2 points What percentage of the students from Tennessee are the youngest child in the family iii 2 points What percentage of the students surveyed are in the oldest child category iv 2 points What percent of the students are middle children and not from Tennessee 4 Question 2 continued v 4 points Do you believe there is an association with birth order and being from Tennessee thus paying in state tuition Circle your answer Yes No Briefly explain your decision using the mosaic plot below 5 3 An exercise scientist wants to assess whether or not a correlation analysis is appropriate for describing the strength of the association between body fat percentage and weight She has collected the metrics of 16 athletes for a local rugby sports team in her city A scatterplot of these data are shown below 9 points List and briefly describe whether or not the 3 conditions for a valid correlation analysis are met below i Condition 1 is Is condition 1 met Circle Yes No Briefly explain your answer ii Condition 2 is Is condition 2 met Circle Yes No Briefly explain your answer iii Condition 3 is Is condition 3 met Circle Yes No Briefly explain your answer 6 Question 3 continued iv 2 points Circle the value on the scatterplot above that would most likely be considered an outlier v 3 points Based only on inspection of the scatterplot above would the value of the correlation coefficient be positive or negative Circle your answer positive negative Briefly explain your choice 4 Before using the Normal Model researchers should verify that they are analyzing Nearly Normal data Use the JMP output below to answer the questions below i 3 points Looking only at the normal probability plot does the data set appear to be nearly normal Circle your answer YES NO Briefly justify your decision ii 3 points Examine the Goodness of Fit Test results Does the data set appear to be nearly normal Circle your answer YES NO Circle only one number on the JMP output above that led you to make your decision 7 5 The scores on a Fall Semester Accounting 201 exam are normally distributed with a mean of 70 and a standard deviation of 5 Two students who took this exam John Brian made a 60 and a 72 5 respectively i 2 points What is the z score for John s score of 60 ii 2 points What is the z score for Brian s score of 72 5 iii 3 points Use the standard normal diagram below to shade in the area between the two scores Note if you have no answer for parts i and ii use z 3 0 and z 0 25 repectively which are NOT the correct answers to parts i and ii iv 3 points The true percentage of students we would expect to score higher than Brian is somewhere between and Use your knowledge of the normal distribution and the 68 95 99 7 Rule to answer this question Provide as NARROW of an interval as you can 8 6 In 2009 the per capita consumption of coffee in the United States was reported to be 9 24 pounds Assume that the per capita consumption of coffee in the USA has a normal enough distribution with a mean of 9 24 lbs and a standard deviation of 3 pounds i 3 points Which of the following pictures describes the percent of people in the USA who consumed more than 10 pounds of coffee in 2009 Draw a box around the correct picture ii 3 points Using only the 68 95 99 7 Rule Complete the following sentence Approximately 99 85 of people in the USA drank less than lbs of coffee in 2009 9 Question 6 continued iii 3 points You are curious if UT students drink a similar amount of coffee in comparison to the rest of the United States With help from your professor you survey 10 classmates about the amount of coffee they drink in a year and the data in lbs is presented below Calculate the average y bar of these data 9 9 12 0 9 2 10 7 13 0 12 0 12 5 10 5 9 2 10 0 iv 3 points Calculate the median of the data 10 7 Females taking Stat 201 in Spring 2012 were asked the most money they have ever spent on a pair of blue jeans The results are below i 3 points The distribution is Symmetric Right Skewed Uniform Left Skewed ii 3 points Which measures of center and spread should be used to describe the distribution Circle one a Mean and …
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