A group of young businesswomen wish to open a high fashion boutique in a vacant store but only if the average income of households in the area is at least $25,000. A random sample of 9 households showed the following results.
$$\begin{array} { l l l l }
\$ 28,000 & \$ 24,000 & \$ 26,000 & \$ 25,000 \
\$ 23,000 & \$ 27,000 & \$ 26,000 & \$ 22,000 \
\$ 24,000 & &
\end{array}$$ Assume the population of incomes is normally distributed.
a. Compute the sample mean and the standard deviation.
b. State the hypotheses for this problem.
c. Compute the test statistic.
d. At 95% confidence using the p-value approach, what is your conclusion?

Question

A group of young businesswomen wish to open a high fashion boutique in a vacant store but only if the average income of households in the area is at least $25,000. A random sample of 9 households showed the following results.
 $$\begin{array} { l l l l } 
\$ 28,000 & \$ 24,000 & \$ 26,000 & \$ 25,000 \
\$ 23,000 & \$ 27,000 & \$ 26,000 & \$ 22,000 \
\$ 24,000 & &
\end{array}$$ Assume the population of incomes is normally distributed. 
a. Compute the sample mean and the standard deviation.
b. State the hypotheses for this problem.
c. Compute the test statistic.
d. At 95% confidence using the p-value approach, what is your conclusion?

Quizplus · Accepted Answer

The Answer of A group of young businesswomen wish to open a high fashion boutique in a vacant store but only if the average income of households in the area is at least $25,000. A random sample of 9 households showed the following results.
 $$\begin{array} { l l l l } 
\$ 28,000 & \$ 24,000 & \$ 26,000 & \$ 25,000 \
\$ 23,000 & \$ 27,000 & \$ 26,000 & \$ 22,000 \
\$ 24,000 & &
\end{array}$$ Assume the population of incomes is normally distributed. 
a. Compute the sample mean and the standard deviation.
b. State the hypotheses for this problem.
c. Compute the test statistic.
d. At 95% confidence using the p-value approach, what is your conclusion?

A Group of Young Businesswomen Wish to Open a High