What is the test statistic and 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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Question
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 = \_\_\_\_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbe2570-f3a8-4bd8-909f-7c418fa071a9%2Fd80add55-e120-48bf-bb84-2f7ce67de5c4%2Fcgkh9uw_processed.png&w=3840&q=75)
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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