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A Researcher Believes That the Median Lowest Temperature for February 1010121414161719202225273133\begin{array} { l l l l l l l l l l l l l l } 10 & 10 & 12 & 14 & 14 & 16 & 17 & 19 & 20 & 22 & 25 & 27 & 31 & 33 \end{array}

Question 36

Multiple Choice

A researcher believes that the median lowest temperature for February is 25 degrees Fahrenheit. A random sample of 14 years yields the following lowest temperatures for Fel in degrees Fahrenheit:
1010121414161719202225273133\begin{array} { l l l l l l l l l l l l l l } 10 & 10 & 12 & 14 & 14 & 16 & 17 & 19 & 20 & 22 & 25 & 27 & 31 & 33 \end{array}
Test the researcher's hypothesis at α=0.05\alpha = 0.05 .
You may use the following abbreviated table of critical values (two tailed, α=0.05\alpha = 0.05 ) from Table J:
n111213141516171819202122232425 critical value 122333444555666\begin{array}{l|ccccccccccccccc}\mathbf{n} & \mathbf{1 1} & \mathbf{1 2} & \mathbf{1 3} & \mathbf{1 4} & \mathbf{1 5} & \mathbf{1 6} & \mathbf{1 7} & \mathbf{1 8} & \mathbf{1 9} & \mathbf{2 0} & \mathbf{2 1} & \mathbf{2 2} & \mathbf{2 3} & \mathbf{2 4} & \mathbf{2 5} \\\hline \text { critical value } & 1 & 2 & 2 & 3 & 3 & 3 & 4 & 4 & 4 & 5 & 5 & 5 & 6 & 6 & 6\end{array}


A) Do not reject the claim because the test value 3 is equal to the critical value
B) Reject the claim because the test value 4 is more than the critical value 3.
C) Do not reject the claim because the test value 3 is more than the critical value
D) Reject the claim because the test value 4 is more than the critical value 2.

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