STAT 222 Module 8 QA.pdf

# Enter the data into the corrregression applet and

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Enter the data into the Corr/Regression applet and conduct a simulation-based test of significance. Report the approximate p-value. The p-value is about 0. Interpret the p-value reported in part (a). If there is no association between maximum height and maximum speed for roller coasters, the probability we would get a sample correlation coefficient at least as extreme as 0.895 is about 0. Summarize your conclusion (significance, causation, generalizability) from this simulation analysis. Also describe the reasoning process by which your conclusion follows from your simulation results.

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We have extremely strong evidence (small p-value) that there is an association between maximum height and maximum speed for roller coasters around the world. Because our sample correlation coefficient is positive, we can go further and say the association is also positive in the population. Chapter 10.2 Exercise Question 13 Relationship between parents' and their children's heights Recall from Exercise 10.1.16 that the data file MomandChildHeights contains data for students in a statistics class on the following two variables: student's height (inches) and biological mother's height (inches). State in words the appropriate null and alternative hypotheses to test whether there is an association between a person's height and their biological mother's height. 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. Chapter 10.2 Exercise Question 14 Refer to the previous exercise about the association between a person's height and their biological mother's height. Recall that the data file MomandChildHeights contains data for students in a statistics class on the following two variables: student's height (inches) and biological mother's height (inches). Enter the data into the Corr/Regression applet and conduct a simulation-based test of significance. Report the approximate p-value. Interpret the p-value reported in part (a). Summarize your conclusion (significance, causation, generalizability) from this simulation analysis. Also describe the reasoning process by which your conclusion follows from your simulation results. Chapter 10.2 Exercise Question 15 Refer back to Exercise 10.1.17, which explores the association between children's heights and (biological) fathers' heights. The data file DadandChildHeights contains data for students in a statistics class on the following two variables: student's height (inches) and biological father's height (inches). State in words the appropriate null and alternative hypotheses to test whether there is an association between a person's height and their biological father's height.
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.

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• Summer '18
• Null hypothesis, Statistical hypothesis testing, Correlation and dependence, Pearson product-moment correlation coefficient

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