In: Statistics and Probability
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.
| $28,000 | $24,000 | $26,000 | $25,000 | 
| $23,000 | $27,000 | $26,000 | $22,000 | 
| $24,000 | |||
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? |