Your question seems to lack some important information necessary for calculating the confidence interval for a population mean.
In order to construct a 95% confidence interval for the population mean amount spent for lunch at a fast-food restaurant, we would need the following required data:
1. Sample Mean: This is the average of the sample data. You would add up all of the amounts spent for lunch at a fast food restaurant from your sample and divide by the sample size.
2. Population Standard Deviation: This is a measure of the spread of the population data. It is a measure of how dispersed or spread out the amounts are from the mean amount spent for lunch.
3. Sample Size (n): This is the number of individuals or observations in your sample.
4. Critical Value (Zα/2): For a 95% confidence interval, the critical value or z-score is typically ±1.96 for a two-tailed test.
Without these data, I'm unable to provide you with a solution to your question. As a math teacher, I recommend you review your question and provide the necessary data for calculation. Alternatively, if you do not have this data on hand, you may want to consider alternate statistical methods that don't require as much data.