You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain classical and silence times from a sample of n 25 subjects. The average difference (classical - silence) is d = 11.7 with a standard deviation of the differences of = 25.5. Sd = = 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 =
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain classical and silence times from a sample of n 25 subjects. The average difference (classical - silence) is d = 11.7 with a standard deviation of the differences of = 25.5. Sd = = 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\). For the context of this problem, \(d = \text{classical} - \text{silence}\) where the first data set represents the number of seconds it takes to complete a task when classical music is being played and the second data set represents the number of seconds it takes to complete the same task in silence by the same person.
\[
H_0: \mu_d = 0
\]
\[
H_a: \mu_d > 0
\]
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain classical and silence times from a sample of \(n = 25\) subjects. The average difference (classical - silence) is \(\bar{d} = 11.7\) 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 = \_\_\_\_\_\_\_\_
**What is the p-value for this sample? (Report answer accurate to four decimal places.)**
p-value = \_\_\_\_\_\_\_\_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faddcfefe-79de-4bfb-b00e-9692daf48932%2F533c179f-d99c-4d8b-b0be-7b0f5366f595%2Fvf7tl77_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\). For the context of this problem, \(d = \text{classical} - \text{silence}\) where the first data set represents the number of seconds it takes to complete a task when classical music is being played and the second data set represents the number of seconds it takes to complete the same task in silence by the same person.
\[
H_0: \mu_d = 0
\]
\[
H_a: \mu_d > 0
\]
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain classical and silence times from a sample of \(n = 25\) subjects. The average difference (classical - silence) is \(\bar{d} = 11.7\) 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 = \_\_\_\_\_\_\_\_
**What is the p-value for this sample? (Report answer accurate to four decimal places.)**
p-value = \_\_\_\_\_\_\_\_
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