According to the survey described here, what was the sample of the survey? “A recent telephone survey of 900 teenagers aged 16 to 19 from across the state shows 1 out of 4 of them drive themselves to school.”
ANSWER: B
Mrs. Williams wants to determine which year-end celebration to choose for the students. She wants student input, so she needs to choose a sample of 20 students from the school. Which of the samples shown is a random sample? Select two answers.
ANSWER: C,D
Seth wants to find out if students at Hillsboro High School go to the football games. He decides to take a sample rather than ask every student. He asks the first 15 boys leaving the library. Which statement about the sample is true? Select two answers.
ANSWER: B,D
In which survey was a parameter reported? Select two answers.
ANSWER: C,E
Maria is using the random number table shown to select students for her survey. She assigned each of the 300 students in the school a three-digit number starting with 001. Beginning on Line 13, what is the third student number chosen for the sample?
ANSWER: A
You design and give a survey to your homeroom class. The survey includes the question, “To the nearest half hour, how many minutes do you exercise each day?” Suppose a national gym franchise decided to calculate the number of minutes teenagers exercise each week by using the results of your class survey. What is the population for this problem?
ANSWER: C
Mr. Moore is installing new work benches in the wood shop. He wants the height of the benches to be best for students standing and working on projects. He decides to use the mean height of the students in the school as a guide. The school has 6th, 7th, and 8th grade students. Rather than using the heights of all the students in the school, he decides to take a sample of students.
Suppose Mr. Moore decides to use 20 seventh graders as the sample. Is this sample a random sample? Explain your reasoning.
Mr. Moore decides to use a random number generator to select 20 students from the school. Suppose that when choosing 20 students using the random generator on the graphing calculator, Mr. Moore’s sample is all eighth graders. Does that mean the sample is not a random sample? Explain your reasoning.
A. Considering that he did not include everyone in his sample, Mr. Moore's sample is NOT random.
B. This sample is random because Mr. Moore could not control who was chosen.
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Tiles, Gumballs, and Pumpkins Quiz
According to the information provided, a random sample is one where every member of the population has an equal chance of being selected. In the given scenario, Mr. Moore decides to use 20 seventh graders as the sample.
To determine if this sample is random, we need to know how Mr. Moore selected these 20 seventh graders. If he randomly selected them from the entire population of students in the school, then the sample would be considered random. However, if Mr. Moore selectively chose the seventh graders without using a random selection process, then the sample would not be random.
Alternatively, if Mr. Moore used a random number generator to select 20 students from the entire school population and the sample ended up consisting only of eighth graders, this does not mean that the sample is not random. Randomness means that every member of the population has an equal chance of being selected, and in this case, the generator randomly chose the eighth graders. Therefore, the sample can still be considered random.
So, the correct answer would be B. This sample is random because Mr. Moore could not control who was chosen.