You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 44 subjects. The average difference (post-pre) is d = 4.2 with a standard deviation of the differences of sa = 25.5. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.05 \). For the context of this problem, \( d = \text{post} - \text{pre} \) where the first data set represents a pre-test and the second data set represents a post-test.

\[
H_0: \mu_d = 0
\]
\[
H_a: \mu_d > 0
\]

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for \( n = 44 \) subjects. The average difference (post - pre) is \( \bar{d} = 4.2 \) with a standard deviation of the differences of \( s_d = 25.5 \).

**What is the test statistic for this sample?** (Report answer accurate to three decimal places.)

test statistic = \[ \text{__________} \]

**What is the p-value for this sample?** (Report answer accurate to four decimal places.)

p-value = \[ \text{__________} \]
Transcribed Image Text:You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.05 \). For the context of this problem, \( d = \text{post} - \text{pre} \) where the first data set represents a pre-test and the second data set represents a post-test. \[ H_0: \mu_d = 0 \] \[ H_a: \mu_d > 0 \] You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for \( n = 44 \) subjects. The average difference (post - pre) is \( \bar{d} = 4.2 \) with a standard deviation of the differences of \( s_d = 25.5 \). **What is the test statistic for this sample?** (Report answer accurate to three decimal places.) test statistic = \[ \text{__________} \] **What is the p-value for this sample?** (Report answer accurate to four decimal places.) p-value = \[ \text{__________} \]
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