The table below shows the lower back pain intensity scores for eight patients before and after receiving acupuncture for eight weeks. At a0.025, complete parts (a) through (e) to determine if there is enough evidence to conclude that the lower back pain intensity scores decreased after the acupuncture. Patient Intensity score (before) Intensity score (after) 1 2 3 4 67.7 62.7 65.1 60.5 69.1 56.2 77.5 57.8 78.7 48.4 49.7 63.5 22.7 25.9 19.4 65.2 (a) Write the claim and identify Ho and H Which is the correct claim? OA. The lower back pain intensity scores have not decreased. O B. The lower back pain intensity scores increased. OC. The lower back pain intensity scores have not increased. OD. The lower back pain intensity scores decreased. Identify Ho and H, below. Họ is the lower back pain intensity scores H, is the lower back pain intensity scores (b) Determine the critical value. The critical value is (Type an integer or decimal rounded to the nearest hundredth as needed.) (c) Calculate the test statistic. The test statistic is (Type an integer or decimal rounded to the nearest hundredth as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject the nul hypothesis. O Fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 2.5% significance level, V enough evidence to conclude that the lower back pain intensity scores were lower after the acupuncture.
The table below shows the lower back pain intensity scores for eight patients before and after receiving acupuncture for eight weeks. At a0.025, complete parts (a) through (e) to determine if there is enough evidence to conclude that the lower back pain intensity scores decreased after the acupuncture. Patient Intensity score (before) Intensity score (after) 1 2 3 4 67.7 62.7 65.1 60.5 69.1 56.2 77.5 57.8 78.7 48.4 49.7 63.5 22.7 25.9 19.4 65.2 (a) Write the claim and identify Ho and H Which is the correct claim? OA. The lower back pain intensity scores have not decreased. O B. The lower back pain intensity scores increased. OC. The lower back pain intensity scores have not increased. OD. The lower back pain intensity scores decreased. Identify Ho and H, below. Họ is the lower back pain intensity scores H, is the lower back pain intensity scores (b) Determine the critical value. The critical value is (Type an integer or decimal rounded to the nearest hundredth as needed.) (c) Calculate the test statistic. The test statistic is (Type an integer or decimal rounded to the nearest hundredth as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject the nul hypothesis. O Fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 2.5% significance level, V enough evidence to conclude that the lower back pain intensity scores were lower after the acupuncture.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
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Transcribed Image Text:The table below shows the lower back pain intensity scores for eight patients before and after receiving acupuncture for eight weeks. At a = 0.025, complete parts (a) through (e) to determine if there is enough evidence to conclude that the lower back pain intensity scores decreased after the acupuncture.
Patient
1
2
3
4
5
7
8
Intensity score (before)
Intensity score (after)
60.5
69.1
56.2
67.7
62.7
77.5
57.8
78.7
49.7
63.5
22.7
25.9
65.1
19.4
65.2
48.4
....
(a) Write the claim and identify Ho and Ha
Which is the correct claim?
O A. The lower back pain intensity scores have not decreased.
O B. The lower back pain intensity scores increased.
OC. The lower back pain intensity scores have not increased.
O D. The lower back pain intensity scores decreased.
Identify Ho and H, below.
Họ is the lower back pain intensity scores
Ha is the lower back pain intensity scores
(b) Determine the critical value.
The critical value is.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
(c) Calculate the test statistic.
The test statistic is
(Type an integer or decimal rounded to the nearest hundredth as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O Reject the null hypothesis.
O Fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 2.5% significance level,
enough evidence to conclude that the lower back pain intensity scores were lower after the acupuncture.
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