Calculate the observed value of the t statistic for testing the difference between the two population means using paired data. (Round your answer to three decimal places.) d = 0.3, s,? = 0.15, n, = n2 = 10, H: (H1 - H2) # 0 n USE SALT t = Approximate the p-value for the test. O p-value < 0.010 O 0.010 < p-value < 0.02o O 0.020 < p-value < 0.050 0.050 < p-value < 0.100 0.100 < p-value < 0.200 O p-value > 0.200 Which of the following could be appropriate conclusions based on your p-value? (Select all that apply.) O At the 1% level of significance, H, is not rejected. At the 1% level of significance, H, is rejected. At the 5% level of significance, H, is not rejected. At the 5% level of significance, Ho is rejected. At the 10% level of significance, H, is not rejected. At the 10% level of significance, H, is rejected.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Calculate the observed value of the \( t \) statistic for testing the difference between the two population means using paired data. (Round your answer to three decimal places.)

\[
\bar{d} = 0.3, \quad s_d^2 = 0.15, \quad n_1 = n_2 = 10, \quad H_a : (\mu_1 - \mu_2) \neq 0
\]

**Button: USE SALT**

\[ t = \boxed{} \]

**Approximate the \( p \)-value for the test.**

- \( p\text{-value} < 0.010 \)
- \( 0.010 < p\text{-value} < 0.020 \)
- \( 0.020 < p\text{-value} < 0.050 \)
- \( 0.050 < p\text{-value} < 0.100 \)
- \( 0.100 < p\text{-value} < 0.200 \)
- \( p\text{-value} > 0.200 \)

**Which of the following could be appropriate conclusions based on your \( p \)-value?** (Select all that apply.)

- At the 1% level of significance, \( H_0 \) is not rejected.
- At the 1% level of significance, \( H_0 \) is rejected.
- At the 5% level of significance, \( H_0 \) is not rejected.
- At the 5% level of significance, \( H_0 \) is rejected.
- At the 10% level of significance, \( H_0 \) is not rejected.
- At the 10% level of significance, \( H_0 \) is rejected.
Transcribed Image Text:Calculate the observed value of the \( t \) statistic for testing the difference between the two population means using paired data. (Round your answer to three decimal places.) \[ \bar{d} = 0.3, \quad s_d^2 = 0.15, \quad n_1 = n_2 = 10, \quad H_a : (\mu_1 - \mu_2) \neq 0 \] **Button: USE SALT** \[ t = \boxed{} \] **Approximate the \( p \)-value for the test.** - \( p\text{-value} < 0.010 \) - \( 0.010 < p\text{-value} < 0.020 \) - \( 0.020 < p\text{-value} < 0.050 \) - \( 0.050 < p\text{-value} < 0.100 \) - \( 0.100 < p\text{-value} < 0.200 \) - \( p\text{-value} > 0.200 \) **Which of the following could be appropriate conclusions based on your \( p \)-value?** (Select all that apply.) - At the 1% level of significance, \( H_0 \) is not rejected. - At the 1% level of significance, \( H_0 \) is rejected. - At the 5% level of significance, \( H_0 \) is not rejected. - At the 5% level of significance, \( H_0 \) is rejected. - At the 10% level of significance, \( H_0 \) is not rejected. - At the 10% level of significance, \( H_0 \) is rejected.
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