1. andre is in the band and he is conducting ...

1. andre is in the band and he is conducting an experiment to determine if high school students find listening to classical music or listening to the sounds of the ocean more calming. he selects five students at random from the band to listen to classical music. he then selects five people at random from the swim team to listen to the sounds of the ocean. what is problematic about the way that andre selected his groups?\n2. you want to survey twenty of the 150 ninth - graders to get their opinion on the schools new schedule. which of the following methods is most likely to lead to a sample that is the most representative of the 150 ninth - graders?\na. choose 20 ninth - graders from your first period class.\nb. choose the first 20 ninth - graders from an alphabetical list.\nc. select 20 students at random from the ninth grade.\nd. select 5 students at random from each of ninth, tenth, eleventh and twelfth grade.\n3. the united states senate has 2 senators from each of the 50 states. select all methods that would select a sample of 10 senators at random from the entire senate.\na. take the 10 senators from the 5 largest states.\nb. take the 10 senators who have served in the senate the longest.\nc. place the names of all 100 senators on individual slips of paper placed into a bowl. thoroughly mix up the slips and then select 10 of them.\nd. send letters to all 100 senators. select the 10 that reply back the quickest.\ne. number the senators from 1 to 100. use a random number generator to make a list of 10 random integers between 1 and 100 inclusive.

Answer

# Brief Explanations: 1. Andre's selection is problematic because he is sampling from different groups (band and swim - team) which may have different characteristics and not be representative of all high - school students. 2. To get a representative sample of 150 ninth - graders, selecting 20 students at random from the ninth grade (Option C) is best as it gives every ninth - grader an equal chance of being selected. Option A is biased towards first - period students, Option B may have some alphabetical biases, and Option D is sampling from other grades which is not relevant. 3. Options C and E are methods of random sampling. Option C uses a physical randomization method (drawing slips), and Option E uses a random number generator. Options A, B, and D are non - random as they are based on non - random criteria (state size, seniority, and response time). # Answer: 1. The samples are not representative as they come from different specific groups (band and swim - team) instead of the entire high - school student population. 2. C. Select 20 students at random from the ninth grade. 3. C. Place the names of all 100 senators on individual slips of paper placed into a bowl. Thoroughly mix up the slips and then select 10 of them. E. Number the senators from 1 to 100. Use a random number generator to make a list of 10 random integers between 1 and 100 inclusive.