# Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40. Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships?

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 10.1, Problem 4E
Textbook Problem
955 views

## Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40. Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships?

a.

To determine

Find the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers.

### Explanation of Solution

Calculation:

A sample of 37 ships which carry fewer than 500 passengers have an average rating of 85.36 and a sample of 44 ships which carry 500 or more passengers have an average of 81.40. The population standard deviation for the ships that carry fewer than 500 passengers is 4.55 and the population standard deviation for the ships that carry 500 or more passengers is 3.97.

Here, μ1 represents the population mean for ships that carry fewer passengers and μ2 represents the population mean for ships that carry more passengers.

The point estimate of the difference between two population means is x¯1x¯2

b.

To determine

Find the margin of error at 95% confidence.

c.

To determine

Find the 95% confidence interval estimate of the difference between the mean ratingsfor two sizes of ships.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Is unemployment typically short-term or long-term? Explain.

Brief Principles of Macroeconomics (MindTap Course List)

What is a relation? What is a tuple?

Accounting Information Systems

What are the positive and negative effects of specialization?

Foundations of Business (MindTap Course List)

REGRESSION AND INVENTORIES jasper Furnishings has 300 million in sales. The company expects that its sales will...

Fundamentals of Financial Management, Concise Edition (with Thomson ONE - Business School Edition, 1 term (6 months) Printed Access Card) (MindTap Course List)

What is the purpose of accounting?

College Accounting, Chapters 1-27 (New in Accounting from Heintz and Parry)

In Exercises 4144, determine whether the statement is true or false. 43. 2356

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Sometimes, Always, or Never: If f(c) = 0, then c is a critical number.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Construct a truth table for the given Statement. (pq)(pq)

Mathematical Excursions (MindTap Course List)

Evaluate the expression sin Exercises 116. (2)3

Finite Mathematics and Applied Calculus (MindTap Course List)

Modeling Almost Power Data In Exercise S-8 through S-11, model the given data with a power function. Give a for...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Exercise 5 gave the following data on weekly gross revenue ($1000s), television advertising expenditures ($1000...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In Problems 112 use the Laplace transform to solve the given initial-value problem. 8. y 2y = 1 + (t 2), y(0)...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)