The dataset HeightReactTime contains people’s height, in centimeters, and reaction time, in seconds, from a computer-based test from a sample of 48 U.S. high school students in 2019. We want to determine whether there is a linear association between students’ height and their reaction times. 

a. State the null and alternative hypotheses. 

b. Use the Corr/Regression applet to find and report the correlation coefficient. 

c. Is the linear association between height and reaction time positive or negative? How do you know? 

d. What is the p-value for a simulation-based test for correlation? 

e. Is there strong evidence of a linear association between height and reaction time? 

f. Calculate a standardized statistic. Is the strength of evidence against the null hypothesis the same as it was with the p-value? Does this make sense?