Two hospitals have entered a study and are interested in comparing average health scores of their patients in outpatient services. This health score is a composite score which captures SES, insurance, and other health determinants. Institution 2 is an urban teaching institution that servers a larger community while Institution 1 is more rural and severs a much smaller community. We suspect that Institution 1 will have much lower health scores than Institution 2. Perform the respective hypothesis test to determine if this is true. Institution 1 Institution 2 Mean 56 76 Variance 120 148 Sample size 56 65 1. H0: mu_1 = mu_2 v H1: mu_1 not = mu_2 2. alpha = 0.05 3. Folded F-test hypothesis: H0: s_1^2 = s_2^2 vs H1: s_1^2 < s_2^2 4. Folded F test: A)1.23 B) 1.45 C) 1.54 D) 0.81. 5. TEst statistic: A) pooled t-test (df=119): -9.44 B) independent t-test (df=119): -9.51 C) independent T-test (df=109): -9.51 D) pooled t-test (df=109): -9.44