A Random Sample of 53 Observations Was Taken

question 24

Essay

A random sample of 53 observations was taken.The average in the sample was 90 with a variance of 400.
a.
Construct a 98% confidence interval for μ.
b.
Construct a 99% confidence interval for μ.
c.
Discuss why the 98% and 99% confidence intervals are different.
d.
What would you expect to happen to the confidence interval in Part a if the sample size was increased? Be sure to explain your answer.

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Definitions:

Psychoanalysis

A therapeutic approach originally developed by Sigmund Freud, focusing on unconscious processes as they are manifested in a person's behavior.

Reaction-Formation

A psychological defense mechanism wherein an individual unconsciously replaces unacceptable impulses with their opposites.

Psychoanalytically Informed

An approach in various therapies that utilizes concepts and principles derived from psychoanalysis.

Bends Over Backward

A phrase describing an individual's willingness to go to great lengths or make significant effort to help others.