Evaluate the following formula for x₁ = 27.9785, x₂ =25.5651, H₁-H₂ = 0, sp = 43.29, n₁ = 41, and n₂ = 43. (x₁-x₂)-(H₁-H₂) t= + 2
Evaluate the following formula for x₁ = 27.9785, x₂ =25.5651, H₁-H₂ = 0, sp = 43.29, n₁ = 41, and n₂ = 43. (x₁-x₂)-(H₁-H₂) t= + 2
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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### Problem Statement
Evaluate the following formula for:
- \( \bar{x}_1 = 27.9785 \)
- \( \bar{x}_2 = 25.5651 \)
- \( \mu_1 - \mu_2 = 0 \)
- \( s_p = 43.29 \)
- \( n_1 = 41 \)
- \( n_2 = 43 \)
### Formula
\[
t = \frac{ \left( \bar{x}_1 - \bar{x}_2 \right) - \left( \mu_1 - \mu_2 \right) }{ \sqrt{ \frac{ s_p^2 }{ n_1 } + \frac{ s_p^2 }{ n_2 } } }
\]
### Calculation Box
\[
t = \boxed{ \ } \quad (\text{Round to two decimal places as needed.})
\]
### Additional Resources
- [Tutoring](#)
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Transcribed Image Text:## Statistical Problem: Evaluating a t-Statistic
### Instructions
To complete this problem, you can refer to the instructional material provided [here](#).
### Problem Statement
Evaluate the following formula for:
- \( \bar{x}_1 = 27.9785 \)
- \( \bar{x}_2 = 25.5651 \)
- \( \mu_1 - \mu_2 = 0 \)
- \( s_p = 43.29 \)
- \( n_1 = 41 \)
- \( n_2 = 43 \)
### Formula
\[
t = \frac{ \left( \bar{x}_1 - \bar{x}_2 \right) - \left( \mu_1 - \mu_2 \right) }{ \sqrt{ \frac{ s_p^2 }{ n_1 } + \frac{ s_p^2 }{ n_2 } } }
\]
### Calculation Box
\[
t = \boxed{ \ } \quad (\text{Round to two decimal places as needed.})
\]
### Additional Resources
- [Tutoring](#)
- [Help me solve this](#)
- [Get more help](#)
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