2. Twosample hypothesis testing A study in Pittsburgh measured various cardiovascular risk factors in children at birth and during their rst 5 years of life. In particular, heart rate was assessed at birth, 5 months, 15 months, 24 months, and annually thereafter until 5 years of age. Heart rate was related to age, gender, race, and socioeconomic status. The data in the table below were presented relating heart rate to race among newborns. Mean hear-1 rate Race {heals pear rn'nute) ad in Caucasian 1 25 i 1 2 t 8 African American 133 3'2 156 1) Test for a significant difference in mean heart rate between Caucasian and African American newborns (given that there is no significant difference between the variances). 5pts 2) Report a p-value for the test performed in previous problem. 5pts