Suppose That Nine Observations Are Drawn from a Normal Population $\begin{array}{|r|r|r|r|r|r|r|r|r|}\hline15&9&13&11&8&12&11&7&10 \\\hline\end{array}$

question 109

Essay

Suppose that nine observations are drawn from a normal population whose standard deviation is 2. The observations are: $\begin{array}{|r|r|r|r|r|r|r|r|r|}\hline15&9&13&11&8&12&11&7&10 \\\hline\end{array}$ 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.

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Definitions:

Independent

A condition where the occurrence or value of one variable does not affect or is not associated with another.

Mutually Exclusive

A statistical term describing events that cannot occur simultaneously; the occurrence of one event excludes the possibility of the other.

Events

Occurrences or happenings, often of significance and usually discrete, that can be observed and recorded.

Continuous Random Variable

A type of random variable that can take an infinite number of values within a given range.