The Social Isolation Scale (SIS) is a measure used to assess an individual's tendency to isolate themselves from social situations. Scores on this scale are distributed with a mean of 16.4 and a standard deviation of 9.0. A researcher is investigating whether people with Social Anxiety Disorder have a different mean SIS score from the general population. To investigate this the researcher collects a sample of 26 participants with Social Anxiety Disorder and computes their mean SIS score. The results of this sample returned a mean of 19.2 and a standard deviation of 8.9. Let a = 0.05. What is the p-value you obtain for this hypothesis test? Give your answer to 4 decimal places.

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The Social Isolation Scale (SIS) is a measure used to assess an individual's tendency to isolate
themselves from social situations. Scores on this scale are distributed with a mean of 16.4 and a
standard deviation of 9.0. A researcher is investigating whether people with Social Anxiety Disorder
have a different mean SIS score from the general population. To investigate this the researcher
collects a sample of 26 participants with Social Anxiety Disorder and computes their mean SIS score.
The results of this sample returned a mean of 19.2 and a standard deviation of 8.9. Let a =
0.05.
What is the p-value you obtain for this hypothesis test? Give your answer to 4
decimal places.
Transcribed Image Text:The Social Isolation Scale (SIS) is a measure used to assess an individual's tendency to isolate themselves from social situations. Scores on this scale are distributed with a mean of 16.4 and a standard deviation of 9.0. A researcher is investigating whether people with Social Anxiety Disorder have a different mean SIS score from the general population. To investigate this the researcher collects a sample of 26 participants with Social Anxiety Disorder and computes their mean SIS score. The results of this sample returned a mean of 19.2 and a standard deviation of 8.9. Let a = 0.05. What is the p-value you obtain for this hypothesis test? Give your answer to 4 decimal places.
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