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.
a. Suppose Mr. Moore decides to use 20 seventh graders as the sample. Is this sample a random sample? Explain your reasoning.
b.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.
I would say no for a because he choose 20 7th graders. Everyone did not have a chance to be in the sample.
I would say b is a random sample because a random number generator was used and that gave all students and equal chance of being selected.
Wait I might have gotten it wrong. I got this answer from a different website and someone said that it was incorrect. So do not use this awnser.
a. No, the sample of 20 seventh graders is not a random sample. A random sample is one where each individual in the population has an equal chance of being selected. However, in this case, Mr. Moore specifically chose seventh graders, which means he did not randomly select from the entire population of students in the school.
b. Yes, the sample of all eighth graders does indicate that the sample is not random. A random sample should ideally be representative of the whole population, so if Mr. Moore's random number generator only selected eighth graders, it suggests a bias or error in the sampling process. Random selection should provide an equal chance for individuals from each grade to be chosen, but the fact that only eighth graders were selected indicates that the sample is not representative of the population as a whole.
a. No, the sample of 20 seventh graders is not a random sample. A random sample is a sample where each individual in the population has an equal chance of being selected. However, in this case, Mr. Moore specifically chose seventh graders as the sample, which means that the other grades (6th and 8th grade) did not have an equal chance of being selected. Therefore, the sample is not random.
b. Yes, the sample of all eighth graders obtained using the random number generator does mean that the sample is not a random sample. Although Mr. Moore used a random number generator to select the students, the fact that all of them turned out to be eighth graders indicates that there was some bias in the selection process. Random sampling should involve an equal chance for each individual in the population to be selected, regardless of their grade. Therefore, the sample obtained in this case is not random.
Do not listen to John. If you read carefully in part b the question says " Mr.Moore's sample is all eight graders." So it Is not random. Both parts are not random because they do not include all of the students in the different grades.
I hope you all get good grades today.
💕Z🌼