A town is studying support for building a new skate park. Two different surveys were conducted:

Question

Sample A: 40 randomly selected teenagers → 75% support the park

Sample B: 50 randomly selected adults → 40% support the park
Based on this data, which of the following statements is most accurate?
(4 Points)

Since Sample A has a higher percentage, the town should build the skate park immediately.

Sample A and Sample B show the same result because they both come from the town.

Since Sample A and Sample B show different results, it is impossible to make any inference.

Teenagers are more likely to support the skate park than adults, based on these samples.
16
(7.SP.B.3) The following represents the number of hours per week 6 students spent playing video games: 5, 10, 8, 12, 4, and 7.
 
If a new student joins the group and reports playing 20 hours per week, how will this affect the mean number of hours spent playing video games?
(4 Points)

It will increase the mean.

It will decrease the mean.

It will have no effect on the mean.

It will cause the mean to stay the same but change the median.

GPT-4o mini · Answer

### Question 1: Skate Park Support **Answer**: Teenagers are more likely to support the skate park than adults, based on these samples. **Explanation**: Sample A shows that 75% of teenagers support the skate park, while Sample B shows that only 40% of adults support it. This indicates that teenagers are more likely to support the skate park than adults, based on the data from these two samples. --- ### Question 2: Video Game Hours **Answer**: It will increase the mean. **Explanation**: To find the mean, we first calculate the current total hours spent playing video games by the 6 students and then determine the new mean when the new student joins. Current total: 5 + 10 + 8 + 12 + 4 + 7 = 46 hours Average for 6 students: 46 hours ÷ 6 students = 7.67 hours (approximately) When the new student plays 20 hours, the new total becomes: 46 + 20 = 66 hours New average: 66 hours ÷ 7 students = 9.43 hours (approximately) Since the average increases from about 7.67 to 9.43, the new student's high number of hours (20) will increase the mean.