a) What hypotheses would you test to decide whether the mean lengths of stay are not the same for all four health plans? (Let l,, Hg, Ha, and H, be the true mean length of hospital stay for the four different health plans.) PM = Et = 2 = F :0H O H at least two of the four u's are different H all four of the u's are different O Hoi at least two of the four u's are different H : Hy = Hz = Hg = H4 H: at least two of the four u's are the same O Hot all four of the u's are different Hgi Hy = Hq = Hg " H4 b) If each sample consisted of six individuals and the value of the ANOVA F statistic was F = 3.17. 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 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 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. O Reject Ho: There is not 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, = 7, n = 6, n3 = 6, and na = 5. What can be said about the P-value for this test?
a) What hypotheses would you test to decide whether the mean lengths of stay are not the same for all four health plans? (Let l,, Hg, Ha, and H, be the true mean length of hospital stay for the four different health plans.) PM = Et = 2 = F :0H O H at least two of the four u's are different H all four of the u's are different O Hoi at least two of the four u's are different H : Hy = Hz = Hg = H4 H: at least two of the four u's are the same O Hot all four of the u's are different Hgi Hy = Hq = Hg " H4 b) If each sample consisted of six individuals and the value of the ANOVA F statistic was F = 3.17. 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 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 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. O Reject Ho: There is not 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, = 7, n = 6, n3 = 6, and na = 5. What can be said about the P-value for this test?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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.
A 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 u,, lz, lz, and u, be the true mean length of hospital stay for the four different health plans.)
O Hoi H = H2 = l3 = H4
H: at least two of the four u's are different
O Ho: l, = H2 = "3 = 44
H all four of the 4,'s are different
O Hoi at least two of the four u,'s are different
H H1 = H2 = lg = H.
O Hoi l, + H2 * l3 * H4
H: at least two of the four u,'s are the same
O Hn: all four of the u's are different
H u, = H2 = l3 = H4
(b) If each sample consisted of six individuals and the value of the ANOVA F statistic was F = 3.17. What can be said about the P-value for this test?
O P-value > 0.100
O 0.050 < P-value < 0.10o
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 Hn: 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 Hn: 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.
(c)
Answer the question posed in part (b) if the F value given there resulted from sample sizes n, = 7, n, = 6, n3 = 6, and na = 5. What can be said about the P-value for this test?
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