Z-Distribution Intervals   Collette is self-employed, selling items at Home Interior parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 clients' receipts gave a sample mean of $34.70 and historically we know the population standard deviation of spending at these parties to be $4.85.    Explain why you may assume your data is normally distributed.    Find a 90% confidence interval for the average amount any given client can be expected to spend at a party.    Write a brief explanation of the meaning of the confidence interval in the context of this problem

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
icon
Related questions
Question

Z-Distribution Intervals

 

Collette is self-employed, selling items at Home Interior parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 clients' receipts gave a sample mean of $34.70 and historically we know the population standard deviation of spending at these parties to be $4.85.

 

 Explain why you may assume your data is normally distributed.

 

 Find a 90% confidence interval for the average amount any given client can be expected to spend at a party.

 

 Write a brief explanation of the meaning of the confidence interval in the context of this problem

 

For a party with 35 clients, use part (b) to estimate a range of dollar values for Collette's total sales at that party.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

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
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