You may have seen the test or puzzle where names of colors are written out in colors not denoted by the name. For example the word green might be written with red ink. The job of the person completing the test is to say the word and not the color. Th is interference in the reaction time of saying the words is called the Stroop effect. Student researchers at Hope College wanted to see if there was an association between age and the time it takes people to read a list of 20 of these colored words. Their results can be found in the data file StroopAgeTime. The age is given in years and the time to complete the task is given in seconds. Put the data in the Corr/Regression applet and complete the following.
a. Write out the null and alternative hypotheses for this study using a two-sided alternative.
b. What is the slope of the regression line? What does that number mean in the context of age and time to complete the task?
c. Conduct at least 1,000 shuffles of the data and find and report the resulting p-value.
d. Summarize your conclusion from this analysis.