A Dermatologist Is Interested in Whether a New Treatment for Poison

question 40

Essay

A dermatologist is interested in whether a new treatment for poison ivy would reduce symptoms more quickly than the current treatment.In general,the current treatment completely eliminates symptoms after an average of 6 days,with a standard deviation of 1.2 days.One randomly selected patient given the new treatment had no symptoms after 5 days.Using the .05 level of significance,is the new treatment faster than the current one?
a.Use the five steps of hypothesis testing.
b.Sketch the distributions involved.
c.Explain the logic of what you did to a person who is familiar with graphs of distributions,the mean,standard deviation,Z scores,the normal curve and normal curve tables,and the basics of probability,but knows nothing else about statistics.Be sure your explanation includes the overall logic of hypothesis testing including each of the five steps.

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Definitions:

Personal Dispositions Theory

A psychological framework that focuses on the individual traits or dispositions that consistently influence human behavior across different situations.

Descriptive Traits

Characteristics that are used to describe a person's behavior or attributes in a straightforward and objective manner.

Cardinal Traits

Dominant personality traits that influence most of a person's behaviors and attitudes, according to the theory of Gordon Allport.

Stages of Development

A theory in psychology that proposed human growth occurs in predictable phases, each with its own set of challenges and accomplishments, often associated with the work of Erik Erikson and Jean Piaget.