What is the test statistic and P value?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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What is the test statistic and P value?

You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.02\).

\[
H_0: \mu = 62.6 \\
H_a: \mu \neq 62.6
\]

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

\[
\begin{array}{cccccc}
65.1 & 52.8 & 71.9 & 53.1 & 57.5 \\
58.3 & 70.2 & 59.4 & 54.6 & 79.0 \\
48.4 & 79.0 & 75.6 & 56.6 & 60.1 \\
64.3 & 62.7 & 55.2 & 64.5 & 64.9 \\
67.6 & 79.0 & 64.7 & 56.6 & 66.8 \\
60.7 & 64.7 & 63.5 & 72.5 & 64.7 \\
58.3 & 62.7 & 52.1 & 52.4 & 63.1 \\
66.3 & 59.6 & 63.5 & 67.3 & 59.0 \\
46.6 & 49.7 & 69.8 & 75.6 & 57.5 \\
\end{array}
\]

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 = \_\_\_\_
Transcribed Image Text:You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.02\). \[ H_0: \mu = 62.6 \\ H_a: \mu \neq 62.6 \] You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: \[ \begin{array}{cccccc} 65.1 & 52.8 & 71.9 & 53.1 & 57.5 \\ 58.3 & 70.2 & 59.4 & 54.6 & 79.0 \\ 48.4 & 79.0 & 75.6 & 56.6 & 60.1 \\ 64.3 & 62.7 & 55.2 & 64.5 & 64.9 \\ 67.6 & 79.0 & 64.7 & 56.6 & 66.8 \\ 60.7 & 64.7 & 63.5 & 72.5 & 64.7 \\ 58.3 & 62.7 & 52.1 & 52.4 & 63.1 \\ 66.3 & 59.6 & 63.5 & 67.3 & 59.0 \\ 46.6 & 49.7 & 69.8 & 75.6 & 57.5 \\ \end{array} \] 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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