Question 8 (20 points) Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will co. inue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley's Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley's Super Grocery Stores wants to study adding more stores in this region. He believes there are family income can be a factor that indicates the amount families spend on groceries. He collected the family income (in $1000) for a random sample of 25 families in the areas. Data can be found in file INCOME. Test to determine if the mean family income is different from $82,000 with 5% level of significance. State the hypotheses, the test statistic and pivalue. State the decision (whether to reject HO or not) and your conclusion in the context of the question. A/