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A Random Sample of Stipends of Teaching Assistants in Economics α=0.05\alpha = 0.05

Question 37

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A random sample of stipends of teaching assistants in economics is listed. Is there sufficient evidence at the α=0.05\alpha = 0.05 level to conclude that the average stipend differs from $15,000\$ 15,000 ? The stipends listed (in dollars) are for the academic year.
13,50018,50011,50014,85612,68513,91913,50012,48117,10412,78315,83815,500\begin{array} { l l l l } \hline 13,500 & 18,500 & 11,500 & 14,856 \\12,685 & 13,919 & 13,500 & 12,481 \\17,104 & 12,783 & 15,838 & 15,500 \\\hline\end{array}


A) There is not enough information to draw a conclusion.
B) No. There is not enough evidence to conclude that the average stipend differs from $15,000.
C) Yes. There is enough evidence to conclude that the average stipend differs from $15,000.

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