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A Random Sample of 25 Observations Was Taken from a Normally

question 84

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A random sample of 25 observations was taken from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
a.Construct a 90% confidence interval for μ\mu .
b.Construct a 99% confidence interval for μ\mu .
c.Discuss why the 90% 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.


Definitions:

Gender Construction

The social and cultural process by which gender differences and roles are defined, established, and reinforced within a society.

Sexual Orientation

A characteristic of individuals that defines those they are physically or romantically attracted to, such as being heterosexual, homosexual, bisexual, etc.

Transgendered

Referring to people whose gender identity differs from the sex they were assigned at birth.

Core Gender Identity

A person's fundamental sense of belonging to a specific gender, typically formed by early childhood and deeply held.

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