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. Using slope as our statistic, we want to determine whether there is evidence of a linear association between students’ height and their reaction time. 

a. State the null and alternative hypotheses. 

b. Use the Corr/Regression applet to find and report the least squares regression line. 

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

d. Find and report the p-value for the simulation-based test for slope. Is there strong evidence of a linear association between height and reaction time? 

e. Calculate a standardized statistic. Is the strength of evidence against the null hypothesis the same as it was with the p-value? Explain.