Question 4 Figures released by the US Department of Agriculture show that the average size of farms has increased since 1940. In 1940, the mean size of a farm was 174 acres, by 1997, the average size was 471 acres. Between those years, the number of farms decreased but the amount of tillable land remained relatively constant, so now farms are bigger. This trend might be explained, in part, by the inability of small farms to compete with the prices and costs of large-scale operations and to produce a level of income necessary to support the farmers' desired standard of living. Suppose an agribusiness researcher believes the average size of farms has now increased from the 1997 mean figure of 471 acres. To test this notion, she randomly sampled 23 farms across the US and ascertained the size of each farm from ountry records. The date she gathered follow. Use a 5% level of significance to test her hypothesis by using confidence interval. Assume that number of acres per farm is normally distributed in the population