A Researcher Was Interested in Comparing the Number of Hours

A researcher was interested in comparing the number of hours of television watched each day by two-year-olds and three-year-olds.A random sample of 18 two-year-olds and 18 three-year-olds yielded the follow data. $$\begin{array} { r r | l r } &\text { 2-year-olds } & \text { 3-year-olds } \\\hline 0.5 & 1.5 & 2.0 & 3.0 \\1.5 & 2.0 & 1.5 & 1.5 \\1.5 & 0 & 1.5 & 2.0 \\1.0 & 1.0 & 1.0 & 0 \\1.0 & 0 & 0 & 1.5 \\2.0 & 1.5 & 1.5 & 2.0 \\2.5 & 2.0 & 2.5 & 2.0 \\0.5 & 0 & 3.0 & 1.0 \\1.5 & 2.5 & 1.5 & 0.5\end{array}$$ Find a 95% confidence interval for the difference, $\mu 2$ - $\mu 3$ ,between the mean number of hours for two-year-olds and the mean number of hours for three-year-olds.

A) (-0.87,0.26)
B) (1.25,1.56)
C) (-0.87,-0.26)
D) (-1.56,-1.25)
E) (-0.26,0.87)

Correct Answer:

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