University:
High School
Course:
High School Mathematics
Academic year:

2024
Views:

98

Pages:

4
Author:

Yosef Mcclure

Population: The collection of all data Responses Measurements Counting Sample: A small set (subset) of the population Like a survey Parameter: Numerical description of the population Some populations are too large to measure Population mean Statistic: Numerical description of the sample Hypothesis: Is a claim about a characteristic of a population The image includes two examples of populations and samples: Population 1: Adults in the US 18 and older Sample 1: Survey of 2164 US adults 18 and older Population 2: Gas mileage of new cars in the US Sample 2: Tests of 845 new cars in the USA Exercise 1: Population: Every adult in a city that is 18 and over. Sample: Survey of 3257 adults in the city 2605 own a tablet 652 who do not own a tablet Exercise 2: Population: Athletes who drink sports drinks Sample: Survey of 1000 athletes who drink sports drinks 726 like the new flavor 274 don't like the new flavor Exercise 3: Population: Every high school student in the school district Sample: Survey of 1500 HS students in the district 824 have a part-time job 676 do not have a part-time job Scenario: You spin a spinner five times and it lands on blue every time. You suspect the spinner favors blue. The maker claims the spinner doesn't favor any color. You simulate spinning the spinner 50 times by drawing 200 random samples of size 50. A histogram shows the distribution of the proportion of blue spins in these simulations. Task: Use the histogram to determine what you should conclude when you spin the actual spinner 50 times: a) Spinner lands on blue 12 times: Calculation: 12/50 = 0.24 Conclusion: The maker's claim (not favoring blue) is most likely true. Based on the histogram, 0.24 is very likely to occur, supporting the claim that blue is not favored. b) Spinner lands on blue 19 times: Calculation: 19/50 = 0.38 Conclusion: The maker's claim (not favoring blue) is most likely false. Spinning blue 0.38 is so unlikely to happen (less than 3% of the time) that if it does happen, it should raise doubt. This does not help support the maker's claim.