In a study designed to test the effectiveness of hypnosis in reducing pain a res

Question

In a study designed to test the effectiveness of hypnosis in reducing pain a research team looked at responses from 8 randomly selected patients before and after hypnosis. The raw data are found in Table 1. Let = 0.01

A) Fill in the missing table cells for the pain perception differences per the directions outlined in the bottom caption.

B) The variable (type and level) of interest in this study is:

Qualitative & Discrete

Quantitative & Continuous     

Quantitative & Nominal

Quantitative & Ordinal

Qualitative & Ordinal

Qualitative & Nominal

Quantitative & Discrete

Qualitative & Continuous

C) This study can be classified as:  ---Select--- Controlled experiment      Observational study

Note that for problems requiring calculations you should carry at least 5 decimal precision for any intermediate calculations and round your answers to the specified decimal precision at the end.

D) The point estimate for the true average effect that hypnosis has on pain perception is a:        point  ---Select---  decrease increase no effect  
Note: round your answer for the first part of this question to 3 decimal precision

E) The point estimate for the true standard deviation of the effect that hypnosis has on pain perception is:  
Note: round your answer to 3 decimal precision

F)The appropriate null/alternative hypothesis pair for this study is:

Ho: d 0; Ha: d 0

Ho: d < 0 ; Ha: d > 0

Ho: d > 0 ; Ha: d < 0

Ho: d < 0 ; Ha: d 0

Ho: xd = 0 ; Ha: xd > 0

Ho: = 0 ; Ha: 0

Ho: < 0 ; Ha: 0

Ho: xd 0 ; Ha: xd < 0

Ho: d = 0 ; Ha: d > 0

Ho: d 0 ; Ha: d < 0

Ho: d = 0 ; Ha: d 0

Ho: 0 ; Ha: < 0

G) The test statistic for this data set is:
      Note: Round your answer to the nearest hundredth.
      

H) The P-value for this study is 0.2250 based on this we:

FTR Ho because the p-value is greater than the significance level

Reject Ha because the p-value is greater than the significance level    

FTR Ha because the p-value is greater than the significance level

Reject Ho because the p-value is greater than the significance level

Table 1: Perceived pain levels pre and post hypnosis for 8 subjects Pre 11.4 9.3 12.6 13.1 9.9 10.6 12.3 11.2 Post 11.0 9.8 9.6 8.5 11.4 13.6 10.9 10.4 Diff Since the investigators believe that hypnosis will reduce perceived pain levels you should compute the differences as Post - Pre and expect negative numbers if the treatment is effective

Explanation / Answer

B)Quantitative & Continuous

C)Controlled experiment

D)

D)-0.65 decrease

E) E) The point estimate for the true standard deviation of the effect that hypnosis has on pain perception is: 2.421

F)Ho: xd 0 ; Ha: xd < 0

G)The test statistic for this data set is: =d/std error =-0.759

H)FTR Ho because the p-value is greater than the significance level

pre post difference(d) 11.4 11 -0.4 9.3 9.8 0.5 12.6 9.6 -3 13.1 8.5 -4.6 9.9 11.4 1.5 10.6 13.6 3 12.3 10.9 -1.4 11.2 10.4 -0.8 mean -0.65 std deviaition 2.4213 std error= std dev/(n)^(1/2) 0.8561

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