Your mother claims that the baby boomer generation is thrifti than the millennials and that boomers save more money with coupons than millennials. In order to test this claim, 17 millen and 12 boomers agreed to track how much money they saved month by using coupons at the grocery store. At the end of th month, the mean savings for the millenials was $18.09 with a standard deviation of $3.48, wheras the boomers saved an average of $26.97 with a standard deviation of $14.60. Perform an appropriate hypothesis test to test the null hypoth that the true mean savings for boomers and millennials are eq versus the alternative that they are different. What is the test statistic and p-value of this test? Test statistic = -2.066; p-value = 0.031 Test statistic = 2.066; p-value = 0.061 Test statistic = -2.066; p-value = 0.939 Test statistic = 2.066; p-value = 0.969

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
***Evaluating Generational Differences in Coupon Savings: A Statistical Analysis***

**Introduction**

It is often claimed that the baby boomer generation is thriftier than millennials, particularly in terms of saving money with coupons. To examine this claim, a study was conducted where 17 millennials and 12 baby boomers tracked their monthly coupon savings at the grocery store.

**Study Details**

At the end of the study period, the data revealed the following:
- **Millennials:**
  - Mean savings: $18.09
  - Standard deviation: $3.48
- **Baby Boomers:**
  - Mean savings: $26.97
  - Standard deviation: $14.60

**Hypothesis Testing**

An appropriate hypothesis test was performed to determine if there is a significant difference in the mean savings of millennials and baby boomers. The null hypothesis (H0) stated that the true mean savings for both groups are equal, against the alternative hypothesis (H1) that they are different.

**Results**

The test statistic and p-value obtained from the hypothesis test are provided in the options below:
1. Test statistic = -2.066; p-value = 0.031
2. Test statistic = 2.066; p-value = 0.061
3. Test statistic = -2.066; p-value = 0.939
4. Test statistic = 2.066; p-value = 0.969

Considering these options, the correct test statistic and p-value need to be selected based on the context of the study.

**Conclusion**

This statistical analysis aims to provide clarity on whether baby boomers indeed save more money with coupons compared to millennials. Understanding such generational spending behavior can offer valuable insights into consumer habits and economic trends.
Transcribed Image Text:***Evaluating Generational Differences in Coupon Savings: A Statistical Analysis*** **Introduction** It is often claimed that the baby boomer generation is thriftier than millennials, particularly in terms of saving money with coupons. To examine this claim, a study was conducted where 17 millennials and 12 baby boomers tracked their monthly coupon savings at the grocery store. **Study Details** At the end of the study period, the data revealed the following: - **Millennials:** - Mean savings: $18.09 - Standard deviation: $3.48 - **Baby Boomers:** - Mean savings: $26.97 - Standard deviation: $14.60 **Hypothesis Testing** An appropriate hypothesis test was performed to determine if there is a significant difference in the mean savings of millennials and baby boomers. The null hypothesis (H0) stated that the true mean savings for both groups are equal, against the alternative hypothesis (H1) that they are different. **Results** The test statistic and p-value obtained from the hypothesis test are provided in the options below: 1. Test statistic = -2.066; p-value = 0.031 2. Test statistic = 2.066; p-value = 0.061 3. Test statistic = -2.066; p-value = 0.939 4. Test statistic = 2.066; p-value = 0.969 Considering these options, the correct test statistic and p-value need to be selected based on the context of the study. **Conclusion** This statistical analysis aims to provide clarity on whether baby boomers indeed save more money with coupons compared to millennials. Understanding such generational spending behavior can offer valuable insights into consumer habits and economic trends.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman