17. PLEASE ANSWER A,B Employeesof a state university system can choose from among four different health plans. Each plan differs somewhat from the others in terms of hospitalization coverage. Four random samples of recently hospitalized individuals were seleca different health plan. The length of the hospital stay (number of days) was determined for each individual selected.USE SALT(a) What hypotheses would you test to decide whether the mean lengths of stay are not the same for all four health plans? (Let M₁, M₂, M3, and 4 be the true mean length of hospital stay for the four different health plans.)O Ho: M₁ H₂ H3 = 4H: all four of the μ's are differentO Ho: H₁ H₂ H3 H4H: at least one pair of the four μ's are the sameO Ho: at least one pair of the four μ's are differentH₂ : M₁ = H₂ = μ3 = μ4O Ho: H₁ H₂ H3 = μ4H₂: at least one pair of the four μ's are differentO Ho: all four of the u;'s are differentH₂H₁ H₂ H3 = μ4(b) If each sample consisted of seven individuals and the value of the ANOVA F statistic was F = 3.37. What can be said about the P-value for this test?OP-value> 0.100O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050O 0.001 < P-value < 0.010OP-value < 0.001What conclusion would be appropriate for a test with a = 0.01?O Fail to reject Ho. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans.O Reject Ho. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans.O Fail to reject Ho. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.O Reject Ho. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.

Null hypothesis in ANOVA analysis is the statement which tells that there is no difference in the…

(a) What hypotheses would you test to decide whether the mean lengths of stay are not the same for all four health plans? (Let H₁ H₂ H3, and 4 be the true mean length of hospital stay for the four different health plans.) O Ho: H₁ H₂ H3 H4 H: all four of the μ's are different O Ho: H₁ H₂ H3 H4 H: at least one pair of the four μ's are the same. O Ho: at least one pair of the four u;'s are different H₂H₁ H₂ H3 H4 O Ho H1 H₂ H3 H4 H: at least one pair of the four 's are different O Ho: all four of the u's are different HH₁ H₂ H3 H4 (b) If each sample consisted of seven individuals and the value of the ANOVA F statistic was F= 3.37. What can be said about the P-value for this test? OP-value> 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 What conclusion would be appropriate for a test with a = 0.01? O Fail to reject Ho. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans. O Reject Ho. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans. O Fail to reject Ho. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans. O Reject Ho. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS