A City Is Considering Widening a Busy Intersection in Town

question 104

Essay

A city is considering widening a busy intersection in town.Last year,the city reported 16,000 cars passed through the intersection per day.The city conducted a survey for 49 days this year and found an average of 17,000 cars passed through the intersection,with a standard deviation of 5,000.
a.Specify the null and alternative hypotheses to determine whether the intersection has seen an increase in traffic.
b.Calculate the value of the test statistic and approximate the p-value.
c.The city is going to widen the intersection if it believes traffic has increased.At the 5% significance level,can you conclude that the intersection has seen an increase in traffic? Should the city widen the intersection?

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Definitions:

Psychopath

An individual with a personality disorder characterized by persistent antisocial behavior, impaired empathy and remorse, and bold, disinhibited, and egotistical traits.

Borderline Personality Disorder

A mental health disorder characterized by pervasive instability in moods, interpersonal relationships, self-image, and behavior, often leading to impulsive actions and problems in relationships.

Depressive Personality Disorder

A personality disorder characterized by chronic feelings of sadness, emptiness, and emotional instability.

Clusters

Groups of personality disorders. DSM-IV-TR lists 10 personality disorders in three clusters: (A) odd and eccentric disorders (paranoid, schizoid, and schizotypal); (B) dramatic, emotional, or erratic disorders (antisocial, borderline, histrionic, and narcissistic); and (C) anxious and fearful disorders (avoidant, dependent, and obsessive-compulsive).