the manager of a restaurant wants to determin...
the manager of a restaurant wants to determine whether to add a veggie burger to the menu. determine whether each group would be a good representative sample in this situation. explain. 10. ask every fifth customer who orders a hamburger. 11. ask every eighth customer who enters the restaurant. 12. ask every sixth customer who orders a salad. 13. ask every tenth customer who orders breakfast. the members of the city council want to determine approximately how many taxpayers in the city would support higher taxes to build a new playground. 14. what is the population of the survey? 15. suggest how the members of the city council could select a representative sample of the population. 16. the town has about 15,000 taxpayers. why would asking 15 people not provide a good sample? 17. why would asking only single taxpayers without children not provide a representative sample? a bag contains a mixture of 50 large green balls and 50 small red balls. 18. reasoning horace suggests reaching into the bag without looking and drawing out the first 10 balls he touches to get a sample of the balls in the bag. is his method likely to result in getting a random, representative sample? explain.
Answer
# Brief Explanations:
10. Not a good representative sample. People who order hamburgers may have different preferences from the general customer - base regarding a veggie burger.
11. Good representative sample. Selecting every eighth customer who enters gives a random cross - section of all customers.
12. Not a good representative sample. Salad - ordering customers may have different food preferences than the overall customer population regarding a veggie burger.
13. Not a good representative sample. Breakfast - ordering customers may have different food preferences than the overall customer population regarding a veggie burger.
14. The population of the survey is all taxpayers in the city.
15. They could use a random number generator to select taxpayers from a list of all taxpayers in the city. This would give each taxpayer an equal chance of being selected.
16. A sample of 15 people out of 15,000 taxpayers is too small. A small sample may not accurately reflect the opinions of the entire population.
17. Single taxpayers without children are a specific subset of taxpayers. Their opinions may not be representative of all taxpayers, as other taxpayers (with children, married, etc.) may have different views on higher taxes for a playground.
18. Not likely to result in a random, representative sample. Since the balls are of two distinct types (large green and small red), just drawing the first 10 balls may not account for the proportion of each type in the bag. He may end up with all of one type if he starts from a particular part of the bag.
# Answer:
10. No, because hamburger - ordering customers may have different preferences.
11. Yes, as it is a random selection of all customers.
12. No, because salad - ordering customers may have different preferences.
13. No, because breakfast - ordering customers may have different preferences.
14. All taxpayers in the city.
15. Use a random number generator to select from a list of all taxpayers.
16. Because 15 is too small a sample size out of 15,000 taxpayers.
17. Because single taxpayers without children are a non - representative subset.
18. No, because the method may not account for the proportion of each ball type.