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 selected, each sample consisting of people covered by a different health plan. The length of the hospital stay (number of days) was determined for each individual selected. LAUSE 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 OM₂₁ ₂₂ ₂ H, at least one pair of the four 's are different OM all four of the 's are different OH at least one pair of the four 's are different H, at least one pair of the four 's are the same OM₂H₁ H₂H₂₂ Hi all four of the 's are different (b) of each sample consisted of seven individuals and the value of the ANOVA Fstatistic was F-4.17. What can be said about the value value> 0.100 0.050 < P-value < 0.100 0.010 P-value < 0.050 0.001 < P-value < 0.010 Ovalue <0.001 What conclusion would be appropriate for a test with a 0.017 O Fail to reject H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans. Reject H. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans. Fail to reject M. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans. Reject H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans. (c) Answer the question posed in part (b) if the F value given there resulted from sample sizes n,8, n, -7,₂-7, and n-6. What can be said about the value for this test? OP-value> 0.100 0.050<-value < 0.100 0.010 < P-value < 0.050 0.001 value < 0.010 Ovalue < 0.001 d be the true mean length of hospital stay for the four different health plans.) The conclusion is the following. Reject H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans. Reject M. 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 H. 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 H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.

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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 selected, each sample consisting of people covered by 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 be the true mean length of hospital stay for the four different health plans.)
O H₁ H₂ = H₂ = H₂ = H₂
H: at least one pair of the four μ's are different
O Ho: all four of the u's are different
H₂H₂ = H₂ = H3 = H₂
OH: at least one pair of the four μ's are different
H₂H₁ H₂ H3 = μ₁
O Hoi H₂ #H₂ #Hz # H₁
H: at least one pair of the four μ's are the same
оно на = H2 = из = на
H: all four of the μ's are different
(b) If each sample consisted of seven individuals and the value of the ANOVA F statistic was F = 4.17. 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 H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.
O Reject H. 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 H. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans.
O Reject H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.
(c) Answer the question posed in part (b) if the F value given there resulted from sample sizes n₁ = 8, n₁₂ = 7, n₂ = 7, and n₁ = 6. 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
The conclusion is the following.
O Reject H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.
O Reject H. 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 H. 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 H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.
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 selected, each sample consisting of people covered by 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 be the true mean length of hospital stay for the four different health plans.) O H₁ H₂ = H₂ = H₂ = H₂ H: at least one pair of the four μ's are different O Ho: all four of the u's are different H₂H₂ = H₂ = H3 = H₂ OH: at least one pair of the four μ's are different H₂H₁ H₂ H3 = μ₁ O Hoi H₂ #H₂ #Hz # H₁ H: at least one pair of the four μ's are the same оно на = H2 = из = на H: all four of the μ's are different (b) If each sample consisted of seven individuals and the value of the ANOVA F statistic was F = 4.17. 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 H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans. O Reject H. 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 H. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans. O Reject H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans. (c) Answer the question posed in part (b) if the F value given there resulted from sample sizes n₁ = 8, n₁₂ = 7, n₂ = 7, and n₁ = 6. 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 The conclusion is the following. O Reject H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans. O Reject H. 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 H. 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 H. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans.
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