Textbook question for practise - A behavioural psychologist has developed a cognitive-behavioural therapy (CBT) technique modified from classic systematic desensitization to reduce her patients’ phobia of spiders. She decides to test the effectiveness of her new therapy approach by selecting ten patients at random to undergo the treatment for 3 months. The patients were asked to rate how much fear they feel/experience when in the presence of a spider/spiders using a scale from 0 (no fear at all) to 100 (extreme panic and fear). They were tested before and after the therapy. The ratings for each patient are as follows:   For this question, be sure to do the following: ▪ State the statistical hypotheses (using the appropriate notation). ▪ Indicate whether the research hypothesis is non-directional or directional (and how you know). ▪ Set the decision rules, which will include: o State alpha - 0.05% o Compute the degrees of freedom o Providing the critical value for the test statistic Sketch the curve and label the rejection region o State the decision rules o Test statistic ▪ Calculate the test statistic. When showing your work for the calculation of the test statistic you can simply insert these values from the output into the formula. You do not need to show all the steps to calculate the mean and standard deviation of the difference scores. ▪ Draw a conclusion (state whether H0 is rejected or not and why you made this decision). ▪ Interpret the result     ▪ The SPSS output ▪ On the output, circle and label (using the proper notation) the following quantities: o Mean of the difference scores (MD) o Standard deviation of the difference scores ( sD ) Please show all your work - there should be an explanation for every calculation and number given in answer to clarify your response.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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Textbook question for practise -

A behavioural psychologist has developed a cognitive-behavioural therapy (CBT) technique modified from classic systematic desensitization to reduce her patients’ phobia of spiders. She decides to test the effectiveness of her new therapy approach by selecting ten patients at random to undergo the treatment for 3 months. The patients were asked to rate how much fear they feel/experience when in the presence of a spider/spiders using a scale from 0 (no fear at all) to 100 (extreme panic and fear). They were tested before and after the therapy. The ratings for each patient are as follows:

 

For this question, be sure to do the following:

▪ State the statistical hypotheses (using the appropriate notation).

▪ Indicate whether the research hypothesis is non-directional or directional (and how you know).

▪ Set the decision rules, which will include:

o State alpha - 0.05%

o Compute the degrees of freedom

o Providing the critical value for the test statistic

Sketch the curve and label the rejection region

o State the decision rules

o Test statistic

▪ Calculate the test statistic.

When showing your work for the calculation of the test statistic you can simply insert these values from the output into the formula. You do not need to show all the steps to calculate the mean and standard deviation of the difference scores.

▪ Draw a conclusion (state whether H0 is rejected or not and why you made this decision).

▪ Interpret the result

 

 

▪ The SPSS output

▪ On the output, circle and label (using the proper notation) the following quantities:

o Mean of the difference scores (MD)

o Standard deviation of the difference scores ( sD )

Please show all your work - there should be an explanation for every calculation and number given in answer to clarify your response.

 

A behavioural psychologist has developed a cognitive-behavioural therapy (CBT) technique
modified from classic systematic desensitization to reduce her patients' phobia of spiders. She
decides to test the effectiveness of her new therapy approach by selecting ten patients at random
to undergo the treatment for 3 months. The patients were asked to rate how much fear they
feel/experience when in the presence of a spider/spiders using a scale from 0 (no fear at all) to
100 (extreme panic and fear). They were tested before and after the therapy. The ratings for each
patient are as follows:
Participant
1
2
3
4
5
6
7
8
9
10
Fear Rating
Before
86
92
76
88
96
85
77
91
94
81
After
53
73
65
66
55
71
53
61
72
48
Transcribed Image Text:A behavioural psychologist has developed a cognitive-behavioural therapy (CBT) technique modified from classic systematic desensitization to reduce her patients' phobia of spiders. She decides to test the effectiveness of her new therapy approach by selecting ten patients at random to undergo the treatment for 3 months. The patients were asked to rate how much fear they feel/experience when in the presence of a spider/spiders using a scale from 0 (no fear at all) to 100 (extreme panic and fear). They were tested before and after the therapy. The ratings for each patient are as follows: Participant 1 2 3 4 5 6 7 8 9 10 Fear Rating Before 86 92 76 88 96 85 77 91 94 81 After 53 73 65 66 55 71 53 61 72 48
FEAR THERAPY
T-Test
Pair 1
Pair 1
Pair 1
Pair 1
before
after
Paired Samples Statistics
Mean
N
before & after
before - after
86.60
61.70
Paired Samples Correlations
N
Correlation
before after
Mean
10
10
10
24.900
Std. Deviation
.342
6.931
9.031
9.315
Sig.
Paired Samples Test
t
Std. Error Mean
2.192
2.856
.333
Std. Deviation Std. Error Mean
Paired Differences
Paired Samples Test
8.453
2.946
df
95% Confidence Interval of the
Lower
9
Difference
18.237
Upper
31.563
Sig. (2-tailed)
.000
Transcribed Image Text:FEAR THERAPY T-Test Pair 1 Pair 1 Pair 1 Pair 1 before after Paired Samples Statistics Mean N before & after before - after 86.60 61.70 Paired Samples Correlations N Correlation before after Mean 10 10 10 24.900 Std. Deviation .342 6.931 9.031 9.315 Sig. Paired Samples Test t Std. Error Mean 2.192 2.856 .333 Std. Deviation Std. Error Mean Paired Differences Paired Samples Test 8.453 2.946 df 95% Confidence Interval of the Lower 9 Difference 18.237 Upper 31.563 Sig. (2-tailed) .000
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