Math Question
![You wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.002 \).
\[
\begin{array}{l}
H_{o}: \mu=53.3 \\
H_{a}: \mu>53.3
\end{array}
\]
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \( n=27 \) with mean \( M=55.7 \) and a standard deviation of \( S D=5.9 \).
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 =
The \( p \)-value is...
less than (or equal to) \( \alpha \)
greater than \( \alpha \)
This test statistic leads to a decision to...
reject the null
accept the null
fail to reject the null](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/9/a51c98c4-2f47-4ea2-9bbe-7e46adb2ceb9.jpg "You wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.002 \).
\[
\begin{array}{l}
H_{o}: \mu=53.3 \\
H_{a}: \mu>53.3
\end{array}
\]
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \( n=27 \) with mean \( M=55.7 \) and a standard deviation of \( S D=5.9 \).
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 =
The \( p \)-value is...
less than (or equal to) \( \alpha \)
greater than \( \alpha \)
This test statistic leads to a decision to...
reject the null
accept the null
fail to reject the null")
Solution
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