Deployees 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 afferent health plan. The length of the hospital stay (number of days) was determined for each individual selected. LAUSE SALT (a) What hypotheses would y ⒸM₂₂₂₂ OM ₂** test to decide whether the mean length at least one pair of the four 's are the same at least one pair of the four a's are different at least one pair of the four a's are different Ⓒall four of the 's are different M₂A₂A₂A₂A () each sample consisted of seven individuals and the value of the ANOVA statistic was 3.37, What can be said about the value for this test? 0.100 00050 Palue 0.100 0.010 value 0.050 0.0010010 0.001 What conclusion wild be appropriate for a test with a 0.017 O fail to reject M. There is not convincing evidence that the mean length of hospital stay is not the same for all four health glans Reject H There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans O fato reject There is convincing evidence that the mean length of hospital stay is not the same for all four health plas O Reject M. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans 0.100 0.050 0.100 0010 0.050 0.0010.010 OP<0.001 The conclusion is the following O Reet There is convincing evidence that the mean length of hospital stay is not the same for all four health plans Oral to reject. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans Oral to reject. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans O Reject M. There is not convincing evidence that the mean length of hospital stay is not the same for all fourth plas Palue for this test?
Deployees 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 afferent health plan. The length of the hospital stay (number of days) was determined for each individual selected. LAUSE SALT (a) What hypotheses would y ⒸM₂₂₂₂ OM ₂** test to decide whether the mean length at least one pair of the four 's are the same at least one pair of the four a's are different at least one pair of the four a's are different Ⓒall four of the 's are different M₂A₂A₂A₂A () each sample consisted of seven individuals and the value of the ANOVA statistic was 3.37, What can be said about the value for this test? 0.100 00050 Palue 0.100 0.010 value 0.050 0.0010010 0.001 What conclusion wild be appropriate for a test with a 0.017 O fail to reject M. There is not convincing evidence that the mean length of hospital stay is not the same for all four health glans Reject H There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans O fato reject There is convincing evidence that the mean length of hospital stay is not the same for all four health plas O Reject M. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans 0.100 0.050 0.100 0010 0.050 0.0010.010 OP<0.001 The conclusion is the following O Reet There is convincing evidence that the mean length of hospital stay is not the same for all four health plans Oral to reject. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans Oral to reject. There is convincing evidence that the mean length of hospital stay is not the same for all four health plans O Reject M. There is not convincing evidence that the mean length of hospital stay is not the same for all fourth plas Palue for this test?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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17. please answer a,b,c ty!
![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 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 H₁ H₂ H3, and 4 be the true mean length of hospital stay for the four different health plans.)
ⒸH₂² H₂ = H₂ = H₂ = H₂
H: all four of the 's are different
O H₂H₂H₂H₂ = H₂
H, at least one pair of the four 's are the same
OH: at least one pair of the four μ's are different
H₂H₂ = H₂ = H₂ = H4
OH₂: H₂ = H₂ = H₂ = H₂
H₂: at least one pair of the four 's are different
O Ho: all four of the 's are different
H₂H₁ H₂ H₂ = H₂
(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 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 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.
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 n₂ = 8, n₂ = 7, n₂ = 7, and n = 6. What can be said about the P-value for this test?
O P-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
The conclusion is the following.
O Reject Ho. There is 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.
O Reject Ho. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb476ca3a-bec3-4bc4-acff-8c911c264bf2%2Fe87fd83d-7c68-4ee2-8170-7e13b89b8ff1%2Fsxmnqgc_processed.jpeg&w=3840&q=75)
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 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 H₁ H₂ H3, and 4 be the true mean length of hospital stay for the four different health plans.)
ⒸH₂² H₂ = H₂ = H₂ = H₂
H: all four of the 's are different
O H₂H₂H₂H₂ = H₂
H, at least one pair of the four 's are the same
OH: at least one pair of the four μ's are different
H₂H₂ = H₂ = H₂ = H4
OH₂: H₂ = H₂ = H₂ = H₂
H₂: at least one pair of the four 's are different
O Ho: all four of the 's are different
H₂H₁ H₂ H₂ = H₂
(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 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 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.
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 n₂ = 8, n₂ = 7, n₂ = 7, and n = 6. What can be said about the P-value for this test?
O P-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
The conclusion is the following.
O Reject Ho. There is 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.
O Reject Ho. There is not convincing evidence that the mean length of hospital stay is not the same for all four health plans.
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