Below You Are Given Ages That Were Obtained by Taking $\mu$

question 51

Essay

Below you are given ages that were obtained by taking a random sample of 9 undergraduate students.Assume the population has a normal distribution.

a.What is the point estimate of $\mu$ ?
b.Determine the standard deviation.
c.Construct a 90% confidence interval for the average age of undergraduate students.
d.Construct a 99% confidence interval for the average age of undergraduate students.
e.Discuss why the 99% and 90% confidence intervals are different.

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Definitions:

Schachter

Refers to Stanley Schachter, a psychologist known for his work on emotion, particularly the two-factor theory of emotion.

Physiological Arousal

pertains to the physical responses of the body, such as increased heart rate or adrenaline, often triggered by emotions, stress, or excitement.

James-Lange Theory

A theory of emotion suggesting that physiological arousal precedes the emotional experience, implying that each emotion is associated with a specific pattern of bodily responses.

W. B. Cannon

A physiologist who is known for his work on the fight-or-flight response and for coining the term "homeostasis."