(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.
(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.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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17. PLEASE ANSWER A,B
Transcribed Image Text:Employees
of 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 selec
a 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 = 4
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 μ's are different
H₂ : M₁ = H₂ = μ3 = μ4
O Ho: H₁ H₂ H3 = μ4
H₂: at least one pair of the four μ's are different
O Ho: all four of the u;'s are different
H₂H₁ 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> 0.100
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O 0.001 < P-value < 0.010
OP-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.
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