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A Major Department Store Chain Is Interested in Estimating the Average

question 58

Multiple Choice

A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain's new store.Fifteen credit card accounts were randomly sampled and analysed with the following results: Xˉ\bar { X } = $50.50 and S = 20.
-Construct a 95% confidence interval for the average amount its credit card customers spent on their first visit to the chain's new store in the mall assuming that the amount spent follows a normal distribution.

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Definitions:

P-Value

Represents the probability of observing test results at least as extreme as the ones observed, under the assumption that the null hypothesis is true.

Hypothesis Testing

The process of making decisions or inferences about a population based on sample data, often involving the use of a statistical test.

Test Statistic

A measure calculated from sample data during a hypothesis test used to determine whether to reject the null hypothesis.

T-Distribution

A probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

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