Is the average time we shower the same? Two hundred and fifty randomly selected citizens from Brazil, United States and Germany were asked to report the length of time (minutes) they spend in the shower. Use a 0.10 significance level and the StatCrunch output to determine if the mean time for a shower is the same for these three countries. Options
Is the average time we shower the same? Two hundred and fifty randomly selected citizens from Brazil, United States and Germany were asked to report the length of time (minutes) they spend in the shower. Use a 0.10 significance level and the StatCrunch output to determine if the mean time for a shower is the same for these three countries. Options
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Is the average time we shower the same? Two hundred and fifty randomly selected citizens from Brazil, United States, and Germany were asked to report the length of time (minutes) they spend in the shower. Use a 0.10 significance level and the StatCrunch output to determine if the mean time for a shower is the same for these three countries.
**StatCrunch Output:**
- **Column statistics**
- **U.S.**
- n = 250
- Mean = 9.84948
- Std. Dev. = 1.228919
- Std. Error = 0.077723662
- **German**
- n = 250
- Mean = 9.58676
- Std. Dev. = 1.282753
- Std. Error = 0.081136157
- **Brazil**
- n = 250
- Mean = 10.03888
- Std. Dev. = 1.247691
- Std. Error = 0.078910787
- **ANOVA table**
- **Source**:
- **DF**:
- Columns = 2
- Error = 747
- Total = 749
- **SS**:
- Columns = 25.775554
- Error = 1173.472
- Total = 1199.2475
- **MS**:
- Columns = 12.887777
- Error = 1.571091
- **F-Stat = 8.2040045**
- **P-value = 0.0003**
In the space provided below state your decision: Reject \( H_0 \) or Retain \( H_0 \).
Also, write a summary statement for the hypothesis test. Be sure to use the context.
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