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A Sample of Holiday Shoppers Is Taken Randomly from a Local

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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:

Valence

The intrinsic attractiveness (positive valence) or averseness (negative valence) of an event, object, or situation.

Resilient Individuals

People who are able to withstand or recover quickly from difficult conditions or situations with strength and positivity.

Broaden-And-Build Model

Fredrickson’s model of positive emotion, stating that the function of positive emotions lies in their effects on an individual’s attention and ability to build resources.

Facial Feedback Hypothesis

The theory that facial movements can influence emotional experiences.

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