Please show all work A major department store chain is interested in estimating

Question

Please show all work

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 in the mall. Fifteen credit card accounts were randomly sampled and analyzed with the following results: X = $50.50 and s^2 = 400. Assuming the distribution of the amount spent on their first visit is approximately normal, what is the shape of the sampling distribution of the sample mean that will be used to create the desired confidence interval for mu? a t distribution with 14 degrees of freedom a standard normal distribution a t distribution with 15 degrees of freedom approximately normal with a mean of $50.50

Explanation / Answer

18.

As we can see, we have a limited sample, n = 15 < 30.

Also, we do not know the population standard deviation (just the sample standard deviaiton s).

So, as df = n - 1 = 14,

OPTION A: a t distirbution with 14 degrees of freedom [ANSWER]

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