STAT 222 Module 8 QA.pdf

# Summarize your conclusion significance causation

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Summarize your conclusion (significance, causation, generalizability) from this simulation analysis. Also describe the reasoning process by which your conclusion follows from your simulation results. We do not have strong evidence (p − value > 0 .05 ) that there is an association between name length and its Scrabble word score, but we do have moderate evidence (p − value < 0 .10 ) of such an association and it is positive. We may cautiously generalize these results to statistics students like those in the study but we are not drawing a cause-and-effect conclusion from this observational study. Chapter 10.2 Exercise Question 19 Scrabble is a word building game where each letter is assigned a point value and when you spell a word you earn the total of all the points in each letter. Students were asked to find the total value of points from the letters of their name (Scrabble points) and then divide their Scrabble points by the number of letters in their name (Scrabble points per letter). State in words the appropriate null and alternative hypotheses to test whether there is an association between the Scrabble points for a student's name and the corresponding ratio. A. Null: There is an association between Scrabble points per letter of their names and number of letters in a name. Alternative: There is no association between Scrabble points per letter of their names and number of letters in a name. B. Null: There is no association between Scrabble points per letter of their names and number of letters in a name. Alternative: There is an association between Scrabble points per letter of their names and number of letters in a name. C. Null: There is no association between Scrabble points per letter of their names and their Scrabble score. Alternative: There is an association between Scrabble points per letter of their names and their Scrabble score. D. Null: There is an association between Scrabble points per letter of their names and their Scrabble score.

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Alternative: There is no association between Scrabble points per letter of their names and their Scrabble score. Describe how one might use everyday items (for example, coins, dice, cards, etc.) to conduct a tactile simulation-based test of the hypotheses. Be sure to clearly describe how the p-value will be computed from the simulation. Put the 16 points per name on 16 index cards and the 16 name scores on 16 other index cards. Shuffle the name score cards and randomly match them up with the 16 points per name cards. From this data set, compute the correlation coefficient. That simulated correlation coefficient will be one dot in the null distribution. Repeat this many, many times to create a null distribution. Find the proportion of simulated correlation coefficients that are at least as extreme as the observed correlation coefficient from the sample data.
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• Summer '18
• Null hypothesis, Statistical hypothesis testing, Correlation and dependence, Pearson product-moment correlation coefficient

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