Jeopardy Normal Distribution ZScores Confidence Intervals 100 100

Jeopardy Normal Distribution Z-Scores Confidence Intervals $100 $100 $200 $200 $300 $300 $400 $400 $500 $500 Histograms Final Jeopardy

1 - $100 A histogram displays this type of information Quantitative/Numerical

1 - $200 n This is an appropriate bin width for a data set referring to money n 20

1 - $300 n The graph if frequency distribution produced by joining the midpoints of intervals in known as what? n Frequency Polygon

1 - $400 n n Which year had the most severe earthquakes? 2008

1 - $500 n Given the following frequency table, draw the histogram. Bonus 100 pts: What is the shape? Scores Frequency 30 -40 2 40 -50 5 50 -60 10 60 -70 16 70 -80 12 18 16 14 12 10 8 6 4 2 0 n Left Skewed 30 -40 40 -50 50 -60 60 -70 70 -80

2 - $100 n This rule applies to the percentages of data within various standard deviations of a normal distribution. n 68 -95 -99. 7 Rule

2 - $200 n Normal Distributions are referred to in terms of these measurements. n Mean, μ, and standard deviation, σ

2 - $300 n Describe the shapes of these density curves. n A: Skewed right, B: Bi-modal, C: Uniform

2 - $400 n 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 n The length of beetles follows a normal distribution with an average length of 2. 526 mm and standard deviation 0. 482. What percentage of beetles have a length less than 3. 008 mm? n 84%

3 - $100 n What does a z-score indicate? n The position of an individual in a data set on a standard normal distribution relative to the mean.

3 - $200 n State the formula to find the z-score for an individual in a data set that follows a normal distribution

3 - $300 n 0. 202

3 - $400 n 0. 8471

3 - $500 n The sales at Mc. Donald’s between 12 am and 5 am 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? n 95. 73%

4 - $100 n The likelihood that the result for the true population lies within a given range is what? n Confidence Level

4 - $200 n As we increase the sample size these decrease. n Margin of Error and Confidence Interval

4 - $300 n 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 n 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 n 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 n Find the measures of central tendency for this data set: 5, 7, 7, 8, 9, 10, 10, 11, 12, 13, 16 Mean: 9. 8 n Median: 10 n Mode: 10 n

5 - $200 n This measure is strongly affected by outliers n Mean

5 - $300 n 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? n 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 n

5 - $500 n n Find the standard deviation from the following frequency table 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 n n 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 Calgary 415 000 80 000 Edmonton, because the z-score is higher than that for Calgary