Stat Quiz 6 11/30/2012
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1 Stat Quiz 6 11/30/2012 Name You have 20 minutes to complete this quiz. Show sufficient work to receive full credit. If a decimal answer is not exact, please round to 4 non-zero decimal places. 1. Here is the data we have: -18, -13, -10, -6, -2, 3, 5, 13, 17, 24, 27, 35, 56, 101. a) Determine if there are any outliers in the above data. Justify your answer using statistics. (6 points) Q1= -6, Q3= 27, IQR=Q3-Q1=33 UL=Q3+1.5*IQR=27+1.5*33=76.5 LL=Q1-1.5*IQR= *33= There is one outlier in the data, 101, since 101 is greater than the upper limit. b) Create a modified box plot for the above data. (6 points)
2 2. Below are the results of a survey about the political affiliations and gender from Indiana University. (2 points for each question) Democrats Independence Republicans Total Male Female Total a) What is the probability that a randomly picked student supports Democrats? Is this a joint, marginal, or conditional probability? b) What is the probability that a randomly picked student is a female and supports Republicans? Is this a joint, marginal, or conditional probability?, Joint Probability c) What is the probability that a randomly picked student is Independent or Republican? Is this a joint, marginal, or conditional probability? d) If we randomly pick a student who supports Republicans, what is the probability that this student is a male? Is this a joint, marginal, or conditional probability?, Conditional Probability
3 Stat Quiz 6 11/30/2012 Name You have 20 minutes to complete this quiz. Show sufficient work to receive full credit. If a decimal answer is not exact, please round to 4 non-zero decimal places. 1. Here is the data we have: -88, -19, -13, -12, -6, -1, 2, 7, 13, 17, 24, 27, 35, 39, 59. a) Determine if there are any outliers in the above data. Justify your answer using statistics. (6 points) Q1= -12, Q3= 27, IQR=Q3-Q1=39 UL=Q3+1.5*IQR=27+1.5*39=85.5 LL=Q1-1.5*IQR= *39= There is one outlier in the data, -88, since -88 is smaller than the lower limit. b) Create a modified box plot for the above data. (6 points)
4 2. Below are the results of a survey about the political affiliations and gender from Indiana University. (2 points for each question) Democrats Independence Republicans Total Male Female Total a) What is the probability that a randomly picked student is a female and supports Republicans? Is this a joint, marginal, or conditional probability?, Joint Probability b) What is the probability that a randomly picked student supports Republicans? Is this a joint, marginal, or conditional probability? c) If we randomly pick a student who supports Republicans, what is the probability that this student is a female? Is this a joint, marginal, or conditional probability?, Conditional Probability d) What is the probability that a randomly picked student supports Independents or Democrats? Is this a joint, marginal, or conditional probability?
5 Stat Quiz 6 11/30/2012 Name You have 20 minutes to complete this quiz. Show sufficient work to receive full credit. If a decimal answer is not exact, please round to 4 non-zero decimal places. 1. Here is the data we have: -58, -13, -12, -8, -6, -1, 2, 9, 10, 18, 24, 27, 35, 39, 40, 109. a) Determine if there are any outliers in the above data. Justify your answer using statistics. (6 points) Q1= -7, Q3= 31, IQR=Q3-Q1=38 UL=Q3+1.5*IQR=31+1.5*38=88 LL=Q1-1.5*IQR= *38= -64 There are two outliers in the data, 109, since it is beyond the limits we would tolerate. b) Create a modified box plot for the above data. (6 points)
6 2. Assume below are the results of a survey about the political affiliations and gender from Indiana University. (2 points for each question) Democrats Independence Republicans Total Male Female Total a) What is the probability that a randomly picked student supports Democrats? Is this a joint, marginal, or conditional probability? b) If we randomly pick a student who supports Democrats, what is the probability that this student is a female? Is this a joint, marginal, or conditional probability?, Conditional Probability c) What is the probability that a randomly picked student supports Independents or Republicans? Is this a joint, marginal, or conditional probability? d) What is the probability that a randomly picked student is a male and supports Republicans? Is this a joint, marginal, or conditional probability?, Joint Probability
7 Stat Quiz 6 11/30/2012 Name You have 20 minutes to complete this quiz. Show sufficient work to receive full credit. If a decimal answer is not exact, please round to 4 non-zero decimal places. 1. Here is the data we have: -99, -19, -13, -12, -6, -1, 2, 7, 13, 17, 19, 27, 59. a) Determine if there are any outliers in the above data. Justify your answer using statistics. (6 points) Q1= -12, Q3= 17, IQR=Q3-Q1=29 UL=Q3+1.5*IQR=17+1.5*29=60.5 LL=Q1-1.5*IQR= *29= There is one outlier in the data, -99, since -99 is smaller than the lower limit. b) Create a modified box plot for the above data. (6 points)
8 2. Assume below are the results of a survey about the political affiliations and gender from Indiana University. (2 points for each question) Democrats Independence Republicans Total Male Female Total a) What is the probability that a randomly picked student supports Independents or Democrats? Is this a joint, marginal, or conditional probability? b) What is the probability that a randomly picked student supports Republicans? Is this a joint, marginal, or conditional probability? c) What is the probability that a randomly picked student is a male and supports Democrats? Is this a joint, marginal, or conditional probability?, Joint Probability d) If we randomly pick a student who supports Republicans, what is the probability that this student is a male? Is this a joint, marginal, or conditional probability?, Conditional Probability
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