Suppose a sample of a restaurant’s sales taken from 49 business days shows average daily sales of $6,300. From past history, the restaurant knows that its population standard deviation for daily sales is about $1,400. What is the sampling distribution of the sample mean in this situation? Construct a 95% confidence interval for the restaurant’s population mean of daily sales. interpret the confidence interval that you have constructed. If the owners of the restaurant desire a smaller margin of error, what would you suggest? f the population standard deviation weren’t available, but the sample standard deviation were determined to be $1,600, then what would the 95% confidence interval be?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

Suppose a sample of a restaurant’s sales taken from 49 business days shows average daily sales of $6,300. From past history, the restaurant knows that its population standard deviation for daily sales is about $1,400.

What is the sampling distribution of the sample mean in this situation?

Construct a 95% confidence interval for the restaurant’s population mean of daily sales.

interpret the confidence interval that you have constructed.

If the owners of the restaurant desire a smaller margin of error, what would you suggest?

f the population standard deviation weren’t available, but the sample standard deviation were determined to be $1,600, then what would the 95% confidence interval be?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill