(a) What hypotheses would you test to decide whether the mean lengths of stay are not the same for all four health plans? (Let #,, My, A;, and u be the true mean length of hospital stay for the four different health plans.) O Ho: H1 = H2 = M3 = 14 He: at least one pair of the four u;'s are different O Ho: all four of the u's are different Ha: H1 = H2 = H3 = H4 O Ho: at least one pair of the four u;'s are different Ha : H 1 = H2 = M3 = H4 O Ho: M 1 = 12 = M3 = H4 He: all four of the u's are different OH: H 1 = H2 * H3 * H4 He : at least one pair of the four 's are the same (b) If each sample consisted of seven individuals and the value of the ANOVA F statistic was F = 4.27. What can be said about the P-value for this test? O P-value > 0.100 O 0.050 0.100 O 0.050