You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context of this problem, d = new old where the first data set represents the rating for an old product and the second data set represents the scores for the new product. - 0 Ho: Pd Ha: Md > 0 = You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: old new 47.7 83.5 71.8 78.7 54 63.3 91.6 100.5 63.6 55.6 85.3 105.8 87.6 101.8 62.3 110 100.7 90.4 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) t = The p-value is ...
You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context of this problem, d = new old where the first data set represents the rating for an old product and the second data set represents the scores for the new product. - 0 Ho: Pd Ha: Md > 0 = You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: old new 47.7 83.5 71.8 78.7 54 63.3 91.6 100.5 63.6 55.6 85.3 105.8 87.6 101.8 62.3 110 100.7 90.4 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) t = The p-value is ...
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 \(\alpha = 0.001\). For the context of this problem, \(d = \text{new} - \text{old}\) where the first data set represents the rating for an old product and the second data set represents the scores for the new product.
\[
H_0: \mu_d = 0
\]
\[
H_a: \mu_d > 0
\]
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
\[
\begin{array}{|c|c|}
\hline
\text{old} & \text{new} \\
\hline
91.6 & 100.5 \\
63.6 & 55.6 \\
85.3 & 105.8 \\
50 & 87.6 \\
47.7 & 101.8 \\
83.5 & 62.3 \\
71.8 & 110 \\
78.7 & 100.7 \\
54 & 90.4 \\
63.3 & 67.1 \\
\hline
\end{array}
\]
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
\( t = \_\_\_\_\_\_ \)
The p-value is \_\_\_\_\_\_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faddcfefe-79de-4bfb-b00e-9692daf48932%2Fa4be3b89-98ab-4f15-b3af-ab571cc71b3e%2Fmc051j9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.001\). For the context of this problem, \(d = \text{new} - \text{old}\) where the first data set represents the rating for an old product and the second data set represents the scores for the new product.
\[
H_0: \mu_d = 0
\]
\[
H_a: \mu_d > 0
\]
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
\[
\begin{array}{|c|c|}
\hline
\text{old} & \text{new} \\
\hline
91.6 & 100.5 \\
63.6 & 55.6 \\
85.3 & 105.8 \\
50 & 87.6 \\
47.7 & 101.8 \\
83.5 & 62.3 \\
71.8 & 110 \\
78.7 & 100.7 \\
54 & 90.4 \\
63.3 & 67.1 \\
\hline
\end{array}
\]
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
\( t = \_\_\_\_\_\_ \)
The p-value is \_\_\_\_\_\_
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