for the following questions state the:
correct statement of null and alternate hypotheses;
correct critical values from the table NOT a calculator or other program;
correct calculation of test statistics;
the correct conclusion in the form of a statement about the null hypothesis;
and an analysis of results, where requested
1. Heights of Presidents and Runners-Up
Theories have been developed about the heights of winning candidates for the U.S. presidency and the heights of candidates who were runners-up. Listed below are heights (in inches) from recent presidential elections. Is there a linear correlation between the heights of candidates who won and the heights of the candidates who were runners-up?
Winner 69.5 73 73 74 74.5 74.5 71 71
Runner-ups 72 69.5 70 68 74 74 73 76
2. Crickets and Temperature
One classic application of correlation involves the association between temperature and the number of times a cricket chirps in a minute. Listed below are the numbers of chirps in 1 min and the corresponding temperatures in Fahrenheit (based on data from The Song of Insects by George W. Pierce, Harvard University Press. Is there a linear correlation between the number of chirps in 1 min and the temperature?
Chirps in 1 min 882 1188 1104 864 1200 1032 960 900
Temperature (F) 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6