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A Sample of Holiday Shoppers Is Taken Randomly from a Local

question 5

Essay

A sample of holiday shoppers is taken randomly from a local mall. Forty-nine shoppers were selected and asked what their average spending on gifts would be during the entire holiday season. The point estimate of the population mean was calculated as $550 and the sample standard deviation was calculated as $92.
A) Construct a 95% confidence interval of the population mean spending.
B) Explain how the central limit theorem is used in constructing this interval.


Definitions:

Implicit Assumption

An implicit assumption is an unstated belief or understanding that underlies and influences thoughts, actions, and decisions without being directly expressed or acknowledged.

Overt Racism

Blatant and openly exhibited racial prejudice and discrimination.

Invisible

Often used metaphorically to describe something that is not noticeable or recognized, despite its presence or impact.

Whiteness

A socially constructed racial category that consists of institutionalized practices and ideas that people participate in consciously and unconsciously. Whiteness is simultaneously taken for granted, largely invisible, and a yardstick for judgment of behavior and ideas.

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