Does Hypnotism Relieve Pain? The table shows the pain levels of patients before and after hypnotism. Pain level is measured on a cm scale. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that the mean difference has increased after hypnotism. (Be sure to subtract in the same direction).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Does Hypnotism Relieve Pain?

The table shows the pain levels of patients before and after hypnotism. Pain level is measured on a cm scale. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that the mean difference has increased after hypnotism.
(Be sure to subtract in the same direction).

Based on the hypotheses, find the following:
Test Statistic = 5.000
Vo* (Round to three decimal places.)
Critical value(s) = 1.895
o (Round to three decimal places.)
p-value = 0.999
X (Round to four decimal places.)
Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The
arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values
correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,
to the right, between or left and right of the t-score(s).
Shade: Left of a value
v. Click and drag the arrows to adjust the values.
-4
-1
1
2
3
-1.9
Decision: Fail to reject the null hypothesis
Conclusion: There is not enough evidence to support
less after hypnotism.
X the claim that the mean difference is
Transcribed Image Text:Based on the hypotheses, find the following: Test Statistic = 5.000 Vo* (Round to three decimal places.) Critical value(s) = 1.895 o (Round to three decimal places.) p-value = 0.999 X (Round to four decimal places.) Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the t-score(s). Shade: Left of a value v. Click and drag the arrows to adjust the values. -4 -1 1 2 3 -1.9 Decision: Fail to reject the null hypothesis Conclusion: There is not enough evidence to support less after hypnotism. X the claim that the mean difference is
Before (cm) After (cm)
Difference (cm)
9
10.7
6.7
4
10.9
9.9
1
9.9
5.9
4.
6.6
3.6
3
7.5
4.5
6.8
3.8
10.2
8.2
What are the correct hypotheses? (Select the correct symbols and values.)
Ho: u(d)
o 2 vX 0
H1: p(d)
vX 0
Original Claim = H:
df = 7
3.
3.
Transcribed Image Text:Before (cm) After (cm) Difference (cm) 9 10.7 6.7 4 10.9 9.9 1 9.9 5.9 4. 6.6 3.6 3 7.5 4.5 6.8 3.8 10.2 8.2 What are the correct hypotheses? (Select the correct symbols and values.) Ho: u(d) o 2 vX 0 H1: p(d) vX 0 Original Claim = H: df = 7 3. 3.
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