12. The table shows the annual premium for a random sample of insurance policies in states A, B, and C. Can you conclude that the distributions of the annual premiums in these 3 states are different? Use the Kruskal-Wallis test to complete parts a) through e). Annual Premium (in dollars) 850 955 717 State A B C a) Identify the null and alternative hypotheses. Ho: There is (1). Ha: There is (2). 622 1227 1341 d) State your conclusion. Fail to reject Ho 745 1132 1121 The (3) hypothesis is the claim. b) Determine the critical value at a significance level of a = 0.01. x² = [ (Round to three decimal places as needed.) c) What is the test statistic? H= (Round to three decimal places as needed.) 897 1290 927 difference in the annual premiums in the three states. difference in the annual premiums in the three states. At the 1% significance level, there (4). three states (5) different. O Reject Ho e) Interpret the conclusion in the context of the original claim. (3) alternative 500 587 900 606 1083 870 (4) is not 997 825 1030 enough evidence to conclude that the distributions of the annual premiums of the
12. The table shows the annual premium for a random sample of insurance policies in states A, B, and C. Can you conclude that the distributions of the annual premiums in these 3 states are different? Use the Kruskal-Wallis test to complete parts a) through e). Annual Premium (in dollars) 850 955 717 State A B C a) Identify the null and alternative hypotheses. Ho: There is (1). Ha: There is (2). 622 1227 1341 d) State your conclusion. Fail to reject Ho 745 1132 1121 The (3) hypothesis is the claim. b) Determine the critical value at a significance level of a = 0.01. x² = [ (Round to three decimal places as needed.) c) What is the test statistic? H= (Round to three decimal places as needed.) 897 1290 927 difference in the annual premiums in the three states. difference in the annual premiums in the three states. At the 1% significance level, there (4). three states (5) different. O Reject Ho e) Interpret the conclusion in the context of the original claim. (3) alternative 500 587 900 606 1083 870 (4) is not 997 825 1030 enough evidence to conclude that the distributions of the annual premiums of the
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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Question
![12. The table shows the annual premium for a random sample of insurance policies in states A, B, and C. Can you conclude that the
distributions of the annual premiums in these 3 states are different? Use the Kruskal-Wallis test to complete parts a) through e).
Annual Premium (in dollars)
850
955
717
State
A
B
C
Ho: There is (1) —
Ha: There is (2)—
a) Identify the null and alternative hypotheses.
c) What is the test statistic?
H=
O
The (3)
hypothesis is the claim.
b) Determine the critical value at a significance level of a = 0.01.
x² = [
(Round to three decimal places as needed.)
d) State your conclusion.
Fail to reject Ho
Reject Ho
622
1227
1341
(1) O no
a
(2)
745
1132
1121
(Round to three decimal places as needed.)
At the 1% significance level, there (4)
three states (5) -
different.
) a
e) Interpret the conclusion in the context of the original claim.
Do not round)
no
difference in the annual premiums in the three states.
difference in the annual premiums in the three states.
897
1290
927
(Round to three decimal
(3) O alternative
O null
500
587
900
(4) is not
is
enough evidence to conclude that the distributions of the annual premiums of the
(5) O are
606
1083
870
O are not
997
825
1030](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ac39a8a-ec0c-4774-a033-dfa86383168d%2Fe39dbf6f-3449-4467-85ff-6fbe2a1f9a2b%2Fouba7m7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12. The table shows the annual premium for a random sample of insurance policies in states A, B, and C. Can you conclude that the
distributions of the annual premiums in these 3 states are different? Use the Kruskal-Wallis test to complete parts a) through e).
Annual Premium (in dollars)
850
955
717
State
A
B
C
Ho: There is (1) —
Ha: There is (2)—
a) Identify the null and alternative hypotheses.
c) What is the test statistic?
H=
O
The (3)
hypothesis is the claim.
b) Determine the critical value at a significance level of a = 0.01.
x² = [
(Round to three decimal places as needed.)
d) State your conclusion.
Fail to reject Ho
Reject Ho
622
1227
1341
(1) O no
a
(2)
745
1132
1121
(Round to three decimal places as needed.)
At the 1% significance level, there (4)
three states (5) -
different.
) a
e) Interpret the conclusion in the context of the original claim.
Do not round)
no
difference in the annual premiums in the three states.
difference in the annual premiums in the three states.
897
1290
927
(Round to three decimal
(3) O alternative
O null
500
587
900
(4) is not
is
enough evidence to conclude that the distributions of the annual premiums of the
(5) O are
606
1083
870
O are not
997
825
1030
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