Based on USDA suggestion, a U.S. adult should be spending anywhere from $165 to $345 per month on food, depending on age and gender. A random sample of 120 adults in Washington State is polled regarding the amount of money they spend each month on food. The sample has an average of $273.61 with a standard deviation of $61.59. Based on this information, complete the following questions.

1. Show that the requirements to build a confidence interval are met.
2. State the critical value for a 90% confidence interval
3. Compute the 90% confidence interval. State values to two decimal places.
4. Interpret the 90% confidence interval using complete sentences.