A researcher wants to assess if there is a difference in the average life spans between men and women in Japan. Let μ₁ = average life span of Japanese women and μ₂ = average life span of Japanese men. A random sample of 10 women showed an average lifespan of 83 years, with a sample standard deviation of 7 years. A random sample of 10 men showed an average lifespan of 77 years, with a sample standard deviation of 6.4 years. Assume that life spans are normally distributed and that the population variances are equal. What is the p-value? Between .05 and .10 O Greater than .10 Between .01 and .025 O Between .02 and .05 O Between .025 and .05 O Less than .01
A researcher wants to assess if there is a difference in the average life spans between men and women in Japan. Let μ₁ = average life span of Japanese women and μ₂ = average life span of Japanese men. A random sample of 10 women showed an average lifespan of 83 years, with a sample standard deviation of 7 years. A random sample of 10 men showed an average lifespan of 77 years, with a sample standard deviation of 6.4 years. Assume that life spans are normally distributed and that the population variances are equal. What is the p-value? Between .05 and .10 O Greater than .10 Between .01 and .025 O Between .02 and .05 O Between .025 and .05 O Less than .01
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:**Assessment of Average Lifespans Between Genders in Japan**
A researcher aims to determine if there is a significant difference in the average lifespans of men and women in Japan.
- Let μ₁ represent the average lifespan of Japanese women.
- Let μ₂ represent the average lifespan of Japanese men.
### Sample Information
- **Women:**
- Sample Size (n₁): 10
- Average Lifespan: 83 years
- Sample Standard Deviation: 7 years
- **Men:**
- Sample Size (n₂): 10
- Average Lifespan: 77 years
- Sample Standard Deviation: 6.4 years
### Assumptions
- Lifespans are normally distributed.
- Population variances are equal.
### Hypothesis Testing
The goal is to determine the p-value for the observed data.
### Question
*What is the p-value?*
### Possible Answers
- Between .05 and .10
- Greater than .10
- Between .01 and .025
- Between .02 and .05
- Between .025 and .05
- Less than .01
**Selected Answer: Between .05 and .10**
This information helps in understanding if the observed difference in average lifespans between men and women in Japan is statistically significant.
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