You are the marketing manager at Visit Savannah, an organization committed to pr tourism to Savannah, GA. Your boss, Sandy Beech, has sent you the following ema Marketing Manager, Promoting tourism starts by understanding our travelers. Previously, we’ve used no surveys to approximate what travelers to Savannah are like. For example, a survey

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
icon
Related questions
Question

Should they start trying to do more surveys of Savannah tourists rather than rely on nationwide estimates?

(Please give answer in form so I can understand it better to write response)

You are the marketing manager at Visit Savannah, an organization committed to promoting
tourism to Savannah, GA. Your boss, Sandy Beech, has sent you the following email:
Marketing Manager,
Promoting tourism starts by understanding our travelers. Previously, we've used national
surveys to approximate what travelers to Savannah are like. For example, a survey conducted by
the American Automobile Association (AAA) showed that nationwide a family of four spends an
average of $215 per day while on vacation.
But recently we've been concerned that these nationwide approximates do not accurately reflect
tourism to Savannah. Thus, we recently conducted a survey of 100 families of four who traveled
to Savannah, finding an average daily amount spent of $300. Based upon a similar survey done
before for Savannah, we are assuming a population standard deviation of $51.
I need your help to figure out whether spending by tourists to Savannah is different than the
nationwide estimates reported by AAA.
Specifically, I need you to develop a 95% confidence interval estimate of the mean amount spent
per day by a family of four visiting Savannah. Based on the confidence interval you calculate,
does it
арреar
that the population mean amount spent per day by families visiting Savannah
differs from the mean reported by the American Automobile Association (AAA)?
Overall, should we start trying to do more surveys of Savannah tourists rather than rely on
nationwide estimates?
Thanks,
Sandy Beech
Transcribed Image Text:You are the marketing manager at Visit Savannah, an organization committed to promoting tourism to Savannah, GA. Your boss, Sandy Beech, has sent you the following email: Marketing Manager, Promoting tourism starts by understanding our travelers. Previously, we've used national surveys to approximate what travelers to Savannah are like. For example, a survey conducted by the American Automobile Association (AAA) showed that nationwide a family of four spends an average of $215 per day while on vacation. But recently we've been concerned that these nationwide approximates do not accurately reflect tourism to Savannah. Thus, we recently conducted a survey of 100 families of four who traveled to Savannah, finding an average daily amount spent of $300. Based upon a similar survey done before for Savannah, we are assuming a population standard deviation of $51. I need your help to figure out whether spending by tourists to Savannah is different than the nationwide estimates reported by AAA. Specifically, I need you to develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Savannah. Based on the confidence interval you calculate, does it арреar that the population mean amount spent per day by families visiting Savannah differs from the mean reported by the American Automobile Association (AAA)? Overall, should we start trying to do more surveys of Savannah tourists rather than rely on nationwide estimates? Thanks, Sandy Beech
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt