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Jeopardy Normal Histograms Distribution Z-Scores Confidence Intervals $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy 1 - $100 A histogram displays this type of information Quantitative/Numerical 1 - $200 This is an appropriate bin width for a data set referring to money 20 1 - $300 The graph if frequency distribution produced by joining the midpoints of intervals in known as what? Frequency Polygon 1 - $400 Which year had the most severe earthquakes? 2008 1 - $500 Given the following frequency table, draw the histogram. Bonus 100 pts: What is the shape? Scores Frequency 18 30-40 2 14 40-50 5 50-60 10 60-70 16 70-80 12 16 12 10 8 6 4 2 0 30-40 Left Skewed 40-50 50-60 60-70 70-80 2 - $100 This rule applies to the percentages of data within various standard deviations of a normal distribution. 68-95-99.7 Rule 2 - $200 Normal Distributions are referred to in terms of these measurements. Mean, μ, and standard deviation, σ 2 - $300 Describe the shapes of these density curves. A: Skewed right, B: Bi-modal, C: Uniform 2 - $400 Bin Width Frequency 0-10 15 10-20 32 20-30 76 30-40 90 40-50 79 50-60 29 60-70 13 No, does not follow 68-95-99.7 Rule DAILY DOUBLE 2 - $500 The length of beetles follows a normal distribution with an average length of 2.526mm and standard deviation 0.482. What percentage of beetles have a length less than 3.008mm? 84% 3 - $100 What does a z-score indicate? The position of an individual in a data set on a standard normal distribution relative to the mean. 3 - $200 State the formula to find the z-score for an individual in a data set that follows a normal distribution 3 - $300 0.202 3 - $400 0.8471 3 - $500 The sales at McDonald’s between 12am and 5am follow a normal distribution, with an average sale of $6.23, and standard deviation $0.75. What percentage of customers spend more than $5.00? 95.73% 4 - $100 The likelihood that the result for the true population lies within a given range is what? Confidence Level 4 - $200 As we increase the sample size these decrease. Margin of Error and Confidence Interval 4 - $300 A recent report indicated that Canadians spend an average of 18.1 hours/week online. The results were accurate within 3.38 hours, 19 times out of 20. What is the confidence interval and confidence level? 4 - $400 A recent survey found that 82% of the sample population drove to work each day, accurate within 5.2% 9 out of 10 times. If the target population is 124’000, what would the confidence interval be? 4 - $500 Recent survey on recycling within a municipality indicated that a target population of 52’000 had between 40092 to 42068 individuals recycling regularly. What was the confidence interval and margin of error for the sample population? 5 - $100 Find the measures of central tendency for this data set: 5, 7, 7, 8, 9, 10, 10, 10, 11, 12, 13, 16 Mean: 9.8 Median: 10 Mode: 10 5 - $200 This measure is strongly affected by outliers Mean 5 - $300 If you are given the sum of the squares of the deviations in a data set, what are the next steps in finding the standard deviation? Divide by sample size, n, take the square root. 5 - $400 Calculate the standard deviation of this data set 20, 26, 25, 24, 31, 38, 36, 34, 33, 27, 32, 35, 25, 38, 19, 37, 24, 40 5 - $500 Find the standard deviation from the following frequency table Score Frequency Score Frequency 101-105 1 131-135 11 106-110 3 136-140 8 111-115 4 141-145 4 116-120 7 146-150 5 121-125 9 151-155 3 126-130 14 156-160 1 σ = 12.02 Final Jeopardy Given the two normally distributed data sets below for the prices of homes in each city, which house has a greater relative value: one sold in Edmonton for $392 000 or one sold in Calgary for $417 000? City Mean, μ Standard Dev. σ Edmonton 375 000 75 000 Calgary 415 000 80 000 Edmonton, because the z-score is higher than that for Calgary