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NY Regents Algebra II statistics and probability quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. In a normal distribution, about what percent of data lies within two standard deviations of the mean?

  2. Heights are normal with mean 64 inches and standard deviation 3 inches. The z-score of a height of 70 inches is

  3. Scores are normal with mean 75 and standard deviation 5. Using the empirical rule, about what percent of scores are between 70 and 80?

  4. For events with P(A)=0.4P(A) = 0.4, P(B)=0.5P(B) = 0.5, and P(A and B)=0.1P(A \text{ and } B) = 0.1, what is P(A or B)P(A \text{ or } B)?

  5. Of 80 students, 48 take Spanish, and 18 of those also take art. What is the probability a student takes art given they take Spanish?

  6. Two events are independent if

  7. A study observes two existing groups without assigning any treatment. This is

  8. Which study design can establish that a treatment causes an effect?

  9. A simulation produces sample proportions with mean 0.55 and standard deviation 0.03. Using two standard deviations, the margin of error is about

  10. A correlation coefficient of r=0.92r = -0.92 indicates

  11. On a residual plot, what indicates that a regression model is appropriate?

  12. Using the model y^=40(1.5)x\hat{y} = 40(1.5)^x, the predicted value at x=2x = 2 is