Suppose That Nine Observations Are Drawn from a Normal Population $$\begin{array} { | r | r | r | r | r | r | r | r | r | } \hline 15 & 9 & 13 & 11 & 8 & 12 & 11 & 7 & 10 \\\hline\end{array}$$

question 87

Essay

Suppose that nine observations are drawn from a normal population whose standard deviation is 2. The observations are: $$\begin{array} { | r | r | r | r | r | r | r | r | r | } \hline 15 & 9 & 13 & 11 & 8 & 12 & 11 & 7 & 10 \\\hline\end{array}$$ At 95% confidence, you want to determine whether the mean of the population from which this sample was taken is significantly different from 10.
a. State the null and alternative hypotheses.
b. Compute the value of the test statistic.
c. Compute the p-value.
d. Interpret the results.