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UO - MATH 243 - Study Guide - Midterm

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Week 4: Exam Prep Questions Part 1: Multiple Choice/True or False, choose the best answer 1.) Which of the following is an example of non-sampling errors? A.) Errors that arise when responses are not obtained from some members of the sample B.) Errors that arise from the recording of incorrect responses C.) Errors that arisDon't forget about the age old question of uncc health psychology

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e when some members of the target population cannot possibly be selected in the sample D.) All of the above are examples of non-sampling errors 2.) If the distribution of annual income in America is strongly skewed to the right (most make between $25,000 and $100,000, while a small number make millions), then… A.) The mean and median will be the same B.) The mean will be greater than the median because of the right skew C.) The mean will be less than the median because of the right skew D.) None of the Above 3.) Which of the following is not primary data? A.) Survey results from UO Division of Student Life B.) Depression scores from the UO Psychology department study C.) New York Times election data compiled from multiple outside resources D.) All of the Above 4.) To select 4 students out of the Class Encore session of 12 students, all 12 names are placed in a hat and 4 names are drawn out of the hat. What type of sample is this? A.) Stratified Random Sample B.) Cluster Sample C.) Systematic Random Sample D.) Simple Random Sample 5.) Bar graphs are different then histograms because… A.) Bar graphs are more difficult to create B.) Bar graphs show frequency or counts for quantitative data (aka numbers) and histograms show categorical data (like gender) C.) Bar graphs show frequency or counts for categorical data (like gender) and histograms show quantitative data (aka numbers) D.) There is no difference between bar graphs and histograms 6.) Even if you use proper random sampling (such as Simple Random Sampling) and gather a large enough people for the sample, you will likely still have some sampling error between the sample and the actual population. A.) True B.) False 7.) The 68-95-99.7 Rule states that 95% of all data (or observations) fall between ± 2σ away from the μ. A.) True B.) False 8.) The total area under any density curve is equal to… A.) 0 B.) 1 C.) Depends on the curve D.) Who cares? 9.) After the physical training required during World War II, the distribution of mile run times for male students at the University of Illinois was approximately Normal with mean 7.11 minutes and standard deviation 0.74 minutes. What proportion of these students could run a mile in 8 minutes or more? A.) Find the X, μ and σ: X = μ = σ = B.) Solve for the Z-Score: Z = C.) Find the proportion in Table A (think if this is a “less than” or “greater than” situation). Proportion = D.) Sketch and shade a curve based on your results 10.) Here are the IQ scores for 11 High School students: 114, 100, 104, 90, 102, 91, 114, 119, 103, 105, 108 A.) Calculate the mean: Mean = B.) Give the 5-Number Summary (Hint: List them from smallest to largest first): 90, 91, 100, 102, 103, 104, 105, 108, 114, 114, 119 Min = Q1 = Median = Q3 = Max = C.) Sketch a boxplot for the 5-Number Summary in the question above D.) Draw a histogram for the data given with a class size of 5Week 4: Exam Prep Questions Part 1: Multiple Choice/True or False, choose the best answer 1.) Which of the following is an example of non-sampling errors? A.) Errors that arise when responses are not obtained from some members of the sample B.) Errors that arise from the recoding of incorrect responses C.) Errors that arise when some members of the target population cannot possibly be selected in the sample D.) All of the above are examples of non-sampling errors 2.) If the distribution of annual income in America is strongly skewed to the right (most make between $25,000 and $100,000, while a small number make millions), then… A.) The mean and median will be the same B.) The mean will be greater than the median because of the right skew C.) The mean will be less than the median because of the right skew D.) None of the Above 3.) Which of the following is not primary data? A.) Survey results from UO Division of Student Life B.) Depression scores from the UO Psychology department study C.) New York Times election data compiled from multiple outside resources D.) All of the Above 4.) To select 4 students out of the Class Encore session of 12 students, all 12 names are placed in a hat and 4 names are drawn out of the hat. What type of sample is this? A.) Stratified Random Sample B.) Cluster Sample C.) Systematic Random Sample D.) Simple Random Sample 5.) Bar graphs are different then histograms because… A.) Bar graphs are more difficult to create B.) Bar graphs show frequency or counts for quantitative data (aka numbers) and histograms show categorical data (like gender) C.) Bar graphs show frequency or counts for categorical data (like gender) and histograms show quantitative data (aka numbers) D.) There is no difference between bar graphs and histograms 6.) Even if you use proper random sampling (such as Simple Random Sampling) and gather a large enough people for the sample, you will likely still have some sampling error between the sample and the actual population. A.) True B.) False 7.) The 68-95-99.7 Rule states that 95% of all data (or observations) fall between ± 2σ away from the μ. A.) True B.) False 8.) The total area under any density curve is equal to… A.) 0 B.) 1 C.) Depends on the curve D.) Who cares? 9.) After the physical training required during World War II, the distribution of mile run times for male students at the University of Illinois was approximately Normal with mean 7.11 minutes and standard deviation 0.74 minutes. What proportion of these students could run a mile in 8 minutes or more? A.) Find the X, μ and σ: X = 8 mins μ = 7.11 mins σ = 0.74 mins B.) Solve for the Z-Score: Z = (8 – 7.11)/0.74 = 1.2027 C.) Find the proportion in Table A (think if this is a “less than” or “greater than” situation). Z (>) ~ 1.20 Proportion = 0.8849 1 – Prop = 1 – 0.8849 = 0.1151 D.) Sketch and shade a curve based on your results 10.) Here are the IQ scores for 11 High School students: 114, 100, 104, 90, 102, 91, 114, 119, 103, 105, 108 A.) Calculate the mean: Mean = 104.5454545 B.) Give the 5-Number Summary (Hint: List them from smallest to largest first): 90, 91, 100, 102, 103, 104, 105, 108, 114, 114, 119 Min = 90 Q1 = 100 Median = 104 Q3 = 114Max = 119 C.) Sketch a boxplot for the 5-Number Summary in the question above D.) Draw a histogram for the data given with a class size of 5 Histogram5 4 3 2 1 0 90 95 100 105 110 115 120 125

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