i really need help please
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.
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that doesnt help
It is not a random sample because he is not taking a couple of 1st graders and seventh graders. And Middle school has 3 grades. 6th 7th and 8th. 7th is the middle.
To determine whether the sample of 20 seventh graders is a random sample, we need to consider how the selection process was conducted. A random sample is one where each member of the population has an equal chance of being selected.
If Mr. Moore intentionally chooses 20 seventh graders out of all the students in the school, then it would not be a random sample. This is because the selection is intentionally biased towards seventh graders.
However, if Mr. Moore uses a truly random method to select the 20 students from the school, such as using a random number generator, then the sample would be considered random.
Now let's consider the scenario where Mr. Moore uses a random number generator on a graphing calculator and ends up with a sample consisting only of eighth graders. In this case, the sample would still be considered a random sample.
Randomness involves the element of chance, and it is possible for a random selection process to yield results that are not evenly distributed across groups or categories. Even though this particular sample is not representative of the entire school population, it can still be considered random because the selection process was unbiased. It is purely a matter of chance that all of the selected students happened to be eighth graders.
To obtain a more representative sample, Mr. Moore could repeat the random selection process multiple times or increase the sample size. This would help reduce the likelihood of getting a sample that is skewed towards a specific grade level.