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AP Review Interpreting Things. A certain species of butterfly has wing length which is approx. normally distributed with average length of 28.0 mm and.

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Presentation on theme: "AP Review Interpreting Things. A certain species of butterfly has wing length which is approx. normally distributed with average length of 28.0 mm and."— Presentation transcript:

1 AP Review Interpreting Things

2 A certain species of butterfly has wing length which is approx. normally distributed with average length of 28.0 mm and a standard deviation of 2.2 mm. Interpret the standard deviation in context.

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4 A researcher raises these butterflies and has a random sample of 10. Find the mean and standard deviation of the sample mean wing length of these butterflies. Interpret the mean of this distribution in context.

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6 A researcher raises these butterflies and has a random sample of 10. Find the mean and standard deviation of the sample mean wing length of these butterflies. Interpret the stdev of this distribution in context.

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8 For graduating seniors at a certain college up the road, the average GPA is 2.72 with a standard deviation of 0.65. Your cousin is graduating from this devilish college and has a GPA of 3.02. Calculate and interpret your cousin’s relative position.

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10 Your sister spent the last four years working hard (some might say, Bearing Down!) and she is graduating from the college down the street. The z-score for her GPA is 2.41. Interpret your sister’s z-score.

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12 Data was collected on the length of a putt in golf vs. the percentage of time a putt of that length was successful.

13 Write the regression equation.

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15 Interpret the slope in context.

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17 Interpret the correlation coefficient in context.

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19 Interpret R-Sq in context.

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21 Interpret the value of S in context.

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23 The P value is the probability of obtaining an effect at least as extreme as the one in your sample data, assuming the null hypothesis is true.

24 For example, suppose that a vaccine study produced a P value of 0.04. This P value indicates that if the vaccine had no effect, you’d obtain the observed difference or more in 4% of studies due to random sampling error.

25 Ho: There is no association between length of putt and success rate. Ha: There is an association between length of putt and success. P-value = 0.031 Interpret the P-value in context.

26 P-value = 0.031 Interpret the P-value in context.

27 A 95% confidence interval for the true difference in GPA’s for graduates from the college up the street vs. that of up is (-0.004 0.128).

28 Interpret the confidence level.

29 A 95% confidence interval for the true difference in GPA’s for graduates from the college up the street vs. that of up is (-0.004 0.128). Interpret the confidence interval.

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