A research clinician has a sample of n=20 patients who have suffered extreme childhood maltreatment and agree to be assessed on a well-known interval scale for vulnerable narcissism. For the general population, scores on the vulnerable narcissism scale are normally distributed with a μ = 25 and s=4. The sample of patients score an average of M=29. Can the research clinician conclude that the sample of patients who have experienced childhood maltreatment score significantly higher in vulnerable narcissism that the general population? (test at alpha = .05 and show all of the steps of hypothesis testing)

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Childhood maltreatment is thought to be linked to adult narcissistic traits. In particular, it is thought that the more severe the childhood maltreatment, the more a person would suffer from the vulnerable form of narcissism. Individuals with this type of personality disorder display attention seeking behaviours, lack empathy, are resentful, have an inferiority complex, and view criticism as a personal attack. As a result, these individuals can be very resentful and vindictive towards others. A research clinician has a sample of n=20 patients who have suffered extreme childhood maltreatment and agree to be assessed on a well-known interval scale for vulnerable narcissism. For the general population, scores on the vulnerable narcissism scale are normally distributed with a μ = 25 and s=4. The sample of patients score an average of M=29.

Can the research clinician conclude that the sample of patients who have experienced childhood maltreatment score significantly higher in vulnerable narcissism that the general population? (test at alpha = .05 and show all of the steps of hypothesis testing)

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