A major department store chain is interested in estimating the mean 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: $\bar { X } = \$ 50.50 \text { and } S = 20$ . Assuming the
Distribution of the amount spent on their first visit is normal, what is the shape of the sampling
Distribution of the sample mean that will be used to create the desired confidence interval for ??
A) Approximately normal with a mean of $50.50
B) A standard normal distribution
C) A t distribution with 15 degrees of freedom
D) A t distribution with 14 degrees of freedom

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean will follow a t distribution with $ n-1 $ degrees of freedom, where $ n $ is the sample size. Here, $ n = 15 $, so the degrees of freedom is $ 15 - 1 = 14 $.

A Major Department Store Chain Is Interested in Estimating the Mean