Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is Approximately normal.

$\begin{array} { l l l l l l }
\hline 201 & 179 & 175 & 166 & 213 & 149 \
\hline
\end{array}$

Based on a 95% confidence interval for the mean magnesium ion concentration, is it reasonable to Believe that the mean magnesium ion concentration may be greater than 199.5? (Hint: you should First calculate the 95% confidence interval for the mean magnesium ion concentration.)

Question

Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is Approximately normal.

$\begin{array} { l l l l l l } 
\hline 201 & 179 & 175 & 166 & 213 & 149 \
\hline
\end{array}$

Based on a 95% confidence interval for the mean magnesium ion concentration, is it reasonable to Believe that the mean magnesium ion concentration may be greater than 199.5? (Hint: you should First calculate the 95% confidence interval for the mean magnesium ion concentration.)

Quizplus · Accepted Answer

The 95% confidence interval for the mean magnesium ion concentration is (176.0, 202.8). Since the upper bound of the confidence interval is greater than 199.5, it is reasonable to believe that the mean magnesium ion concentration may be greater than 199.5.

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Six Measurements Were Made of the Magnesium Ion Concentration (In $\begin{array} { l l l l l l } \hline 201 & 179 & 175 & 166 & 213 & 149 \\\hline\end{array}$