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Probability and Statistics Final Exam Review 1. If your outcomes are 17-23 in a random game of Black Jack, what is the level of measurement? Nominal, Ordinal, Interval, or Ratio? 2. Is this an experiment or observational study? 3. Conduct a 10 number simulation using Randi on your calculator Randi (17, 23) = _____, _____, _____, _____, _____, _____, _____, _____, _____, _____ 4. Record your results in the table below and Construct a frequency histogram Intervals Boundaries Midpoint Tallies Frequency 16-17 18-19 20-21 22-23 5. Construct a stem and leaf plot with a key 6. STATS: n = _____ ∑x = _____ Q1 or LQ = _____ LF = _____ Q3 or UQ= _____ UF = _____ s = _____ s = _____ x̄ = _____ Q2 or median = _____ mode(s) = _____ IQR = _____ Fence (F) = _____ Outlier(s) = ________ min= _____ max = _____ range = _____ CV = _____% (whole) 7. If the population mean = 20, should the randi black jack player be concerned that they will get less than 20? = 20 H0 : x̄ = H1 : Left Tail, Right Tail, or Two Tailed? Test statistic t = x̄ – s / √n or n= Standard normal z or student t? Convert t to p <p< p< Sketch and shade reject H0 s= fail to reject H0 Conclusion in context of the problem: or p> data is significant at or insufficient evidence 8. Copy your Randi Results from page 1: Randi (17, 23) = _____, _____, _____, _____, _____, _____, _____, _____, _____, _____ 9. If the outcomes are win or loss, what is the level of measurement? Nominal, Ordinal, Interval, or Ratio? 10. Record your results from above if 19, 20, 21 is a win and 17, 22, 23 is a loss and 18 is a push (tie) Outcome Tallies Frequency Relative Frequency Wins Losses DON’T RECORD 18’s…only wins and losses! 11. Are the events in this problem independent or dependent? 12. How many ways can you arrange the letters in the word “BLACK”? 13. How many ways can you arrange the letters in the word “JACK”? 14. How many ways can you pick 2 cards from 4 if order is important? 15. How many ways can you pick 2 cards from 4 if order is not important? 16. Does your data indicate that you should have won more than 0.5? n = wins + losses = r= p= H0 : p = q= (# of wins) then H1 : p^ = r/n = Left Tail, Right Tail, or Two Tailed? Standard normal z or student t? Test statistic z = p^ - p √(pq/n) Convert z to p p= Sketch and shade p< or reject H0 p> or fail to reject H0 Conclusion in context of the problem: data is significant at or insufficient evidence