Question: One-sample t procedures: Average spending in a Coffee Shop: A coffee shop owner believes that the average spending of a customer in their shop is

One-sample t procedures: Average spending in a Coffee Shop: A coffee shop owner believes that the average spending of a customer in their shop is not $25. To test this belief, the owner collects a random sample of spending data from 30 customers. The sample mean has a mean of $27 and a standard deviation of $5 dollars.

(A) Let the mean be the true average spending of all customers in this coffee shop. Does the data provide evidence for the owner's belief? Perform the 4-step testing procedures at a significance level that is set at 5%.

(B) Find the 90% confidence interval for the mean. Interpret this confidence interval.

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