A researcher investigated the number of days patients spend at a hospital. Patients were randomly selected from four regions and the number of days each patient spent at a hospital was recorded. The accompanying table shows the results. At a= 0.10, can the researcher reject the claim that the mean number of days patients spend in the hospital is the same for all four regions? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. E Click the icon to view the counts for the number of days patients spent at a hospital. (a) Identify the claim and state Ho and H. Choose the correct answer below. O A. Ho: At least one mean is different from the others. (claim) B. Ho: H =2 "H3 "Pe (claim) H: At least one mean is different from the others. OC. Ho: H =2 =Ha =H = Hs =He O D. Ho: H =2 "H3 "He H: At least one mean is different from the others. (clairh) H: At least one mean is different from the others. (claim) (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.fN, is 3, and the degrees freedom for the denominator, d.fp. is 17 - X Hospital Time Counts The critical value is Fo= (Round to two decimal places as needed.) North East South West 3 5 4 4 4 4. 3 3 5 17 6. 8 7

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A researcher investigated the number of days patients spend at a hospital. Patients were randomly selected from four regions and the number of days each patient spent at a hospital was recorded. The accompanying table shows the results. At
a= 0.10, can the researcher reject the claim that the mean number of days patients spend in the hospital is the same for all four regions? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a
normal population, that the samples are independent of each other, and that the populations have the same variances.
E Click the icon to view the counts for the number of days patients spent at a hospital.
(a) Identify the claim and state Ho and H. Choose the correct answer below.
O A. Ho: At least one mean is different from the others. (claim)
YB. Ho: H =H =H3 = H4 (claim)
Ha: At least one mean is different from the others.
OC. Ho: H =2 = Ha =H4 = Hs =H6
O D. Ho: P1 = P2 H3 "H4
H: At least one mean is different from the others. (clairh)
H: At least one mean is different from the others. (claim)
(b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region.
The degrees of freedom for the numerator, d.f.N, is 3, and the degrees of freedom for the denominator, d.f.p. is 17.
The critical value is Fo =.
(Round to two decimal places as needed.)
Hospital Time Counts
North East South West C
3
5
4
4
6.
6
15
4
4
3
16
3
6
7
12
8
Print
Done
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Transcribed Image Text:A researcher investigated the number of days patients spend at a hospital. Patients were randomly selected from four regions and the number of days each patient spent at a hospital was recorded. The accompanying table shows the results. At a= 0.10, can the researcher reject the claim that the mean number of days patients spend in the hospital is the same for all four regions? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. E Click the icon to view the counts for the number of days patients spent at a hospital. (a) Identify the claim and state Ho and H. Choose the correct answer below. O A. Ho: At least one mean is different from the others. (claim) YB. Ho: H =H =H3 = H4 (claim) Ha: At least one mean is different from the others. OC. Ho: H =2 = Ha =H4 = Hs =H6 O D. Ho: P1 = P2 H3 "H4 H: At least one mean is different from the others. (clairh) H: At least one mean is different from the others. (claim) (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is 3, and the degrees of freedom for the denominator, d.f.p. is 17. The critical value is Fo =. (Round to two decimal places as needed.) Hospital Time Counts North East South West C 3 5 4 4 6. 6 15 4 4 3 16 3 6 7 12 8 Print Done Help me solve this View an example Get more help
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