solve.\n4 vivek plans to survey 10 randomly -...
solve.\n4 vivek plans to survey 10 randomly - chosen residents out of the 280 people that live in his community about plans for a new neighborhood dog park. describe one way he can make the sample more likely to represent the population of residents.\n5 three park rangers had to report about the ways visitors use their facilities. each ranger surveyed a sample of park visitors. compare the methods. do you think all three rangers’ samples are equally representative of their parks’ visitors? explain.\n• ranger li surveyed 30 randomly chosen visitors to her park’s information center.\n• ranger simpson divided his park into 30 same - sized zones and surveyed one randomly chosen visitor encountered in each zone.\n• ranger patel surveyed 30 randomly chosen people who posted reviews of the park on a fishing website.\n6 jackson uses a random number generator to choose 20 students from each grade and asks how long they spend on homework. niko says that jackson’s sample is biased. do you agree? explain. if it is biased, identify a different 60 - student sample that can be chosen to better represent the school population.\njackson’s s\ngrade\n6\n7\n8
Answer
### 4.
# Brief Explanations:
He can stratify the population by different characteristics like age - groups, genders etc. and then randomly select from each stratum. This ensures that different segments of the population are represented.
# Answer:
Stratify the 280 residents by characteristics such as age - group, gender, or length of residence in the community and then randomly select 10 residents from each stratum.
### 5.
# Brief Explanations:
Ranger Li's sample may be biased as visitors to the information center may have different interests than other park - goers. Ranger Simpson's method is more representative as it covers the whole park. Ranger Patel's sample is likely biased as it only includes people interested in fishing.
# Answer:
No, the samples are not equally representative. Ranger Li's sample may be biased towards those who visit the information center. Ranger Simpson's sample is more likely to be representative as it covers the whole park. Ranger Patel's sample is biased as it only includes people who post on a fishing website and may not represent all park visitors.
### 6.
# Brief Explanations:
Jackson's sample may be biased because he is only sampling from students who are present in school (since he uses a random - number generator on students). A better sample could be to randomly select students from a list of all students in the school, regardless of their current presence in school.
# Answer:
Yes, I agree it is biased. A better 60 - student sample could be to randomly select 60 students from a complete list of all students in the school, rather than just from students present in each grade.